Algebra and Trigonometry (6th Edition)
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Determine whether the parabola opens up or down. ... more
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Determine whether the parabola opens up or down. ... more
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Determine whether the parabola opens up or down. ... more
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; Write a function that represents the product. ... more
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Dimensions: 30 feet by 30 feetMaximum area: 900 sq... more
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standardparabola ; A quadratic function is an ... more
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; You can complete the square to transform into ... more
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The value of determines which way the parabola ... more
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When a quadratic function is written in the form, ... more
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To find the -coordinate of the vertex of a ... more
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; The term "difference" means subtraction, so if ... more
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; If the length of the rectangle is and the ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; The parabola in the graph has a -intercept of... more
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; Use any piece(s) of information that you can in... more
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; Use any piece(s) of information that you can in... more
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; The parabola in the graph opens downward, so ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; When a quadratic function is written in the ... more
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; To find the −coordinate of the vertex of a ... more
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; To find the −coordinate of the vertex of a ... more
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; To find the −coordinate of the vertex of a ... more
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; To find the −coordinate of the vertex of a ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): , -intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Vertex: -intercept(s): none-intercept: Axis of ... more
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Domain: Range: ; Every quadratic function is a ... more
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Domain: Range: ; Every quadratic function is a ... more
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Domain: Range: ; Every quadratic function is a ... more
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Domain: Range: ; Every quadratic function is a ... more
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; When a quadratic function is written in ... more
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; When a quadratic function is written in ... more
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; When a quadratic function is written in ... more
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; When a quadratic function is written in ... more
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; First, decide which of the given functions is ... more
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; First, decide which of the given functions is ... more
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; First, decide which of the given functions is ... more
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; First, decide which of the given functions is ... more
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Number pair: and Maximum product: ; Write a ... more
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Number pair: and Maximum product: ; Write a ... more
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Number pair: and Minimum product: ; Write a ... more
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Number pair: and Minimum product: ; Write a ... more
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Dimensions: 150 ft by 300 ftMaximum area: 45,000 ... more
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Dimensions: 50 ft by 100 ftMaximum area: 5,000 sq ... more
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Dimensions: 12.5 yd by 12.5 ydMaximum area: 156.25... more
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Dimensions: 20 feet by 20 feetMaximum area: 400 sq... more
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Dimensions: 150 feet by 100 feetMaximum area: 15,... more
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Dimensions: feet by feetMaximum area: sq ft ; ... more
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Dimensions: 5 inches deep by 10 inches wideMaximum... more
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Dimensions: 3 inches deep by 6 inches wideMaximum ... more
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A quadratic function is one in which the highest ... more
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A parabola is a symmetric U-shaped curve that has ... more
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The coefficient, , of the squared term in a ... more
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When a quadratic function is written in standard ... more
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Use the formula to find the -coordinate of the ... more
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The minimum value of the parabola is 2.The ... more
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For each of the exercises you chose, enter the ... more
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Vertex: ; To find the -coordinate of the vertex, ... more
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Vertex: ; To find the -coordinate of the vertex, ... more
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Vertex: ; To find the -coordinate of the vertex, ... more
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Vertex: ; To find the -coordinate of the vertex, ... more
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It does not make sense. If the vertex of a ... more
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It makes sense. The graph of a parabola looks the ... more
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It does not make sense. If you throw something ... more
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It does not make sense. The graph looks linear ... more
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The graph of every quadratic function is a ... more
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False; The vertex of the given parabola is . ; ... more
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False; The graph has one -intercept and no -... more
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False; The maximum -value for this function is , ... more
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axis of symmetry: ; second point: ; The axis of ... more
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axis of symmetry: ; second point: ; The axis of ... more
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; Start by substituting the given vertex, , into ... more
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; Start by substituting the given vertex, , into ... more
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Dimensions: ; Maximum area: ; You need to write a ... more
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Number of trees: 65Maximum amount: 16,900 pounds... more
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No; When you solve the equation for , you get two ... more
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where ; Start by substituting and into the ... more
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; To factor a polynomial that has four terms, ... more
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; The first pair of values represents a point that... more
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even; -axis symmetry ; A function is even if . In ... more
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rises to the left and to the right ; The end ... more
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falls to the left, rises to the right ; The end ... more
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No, it would not be a good model. The leading term... more
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No, this is not a complete graph because the ... more
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and ; The zeros of a function are the value(s) of... more
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, , and ; The zeros of a function are the value(s... more
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; multiplicity 2; touches and turns ; multiplicity... more
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Since and , there is a real zero between and... more
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Falls to the left, rises to the right -intercepts... more
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Falls to the left, rises to the right -... more
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Degree: Leading coefficient: ; The degree of a ... more
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The domain of every polynomial function is all ... more
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end; leading ; For a polynomial function, as ... more
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falls; rises ; The highest power on this function ... more
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rises; falls ; The highest power on this function ... more
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rises; rises ; The highest power on this function ... more
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falls; falls ; The highest power on this function ... more
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For a polynomial function that has an odd degree, ... more
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For a polynomial function that has an even degree... more
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-intercept ; A real zero of a polynomial function ... more
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turns around; crosses ; The multiplicity of a zero... more
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0; Intermediate Value ; The graph of every ... more
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; For a polynomial function, the maximum number ... more
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Polynomial of degree 3 ; Decide whether the ... more
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Polynomial of degree 4 ; Decide whether the ... more
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Polynomial of degree 5 ; Decide whether the ... more
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Polynomial of degree 7 ; Decide whether the ... more
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Not a polynomial ; Decide whether the function is ... more
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Not a polynomial ; Decide whether the function is ... more
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Not a polynomial ; Decide whether the function is ... more
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Not a polynomial ; Decide whether the function is ... more
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Not a polynomial ; Decide whether the function is ... more
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Polynomial of degree 2 ; Decide whether the ... more
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Polynomial ; Graphically, a polynomial function ... more
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Not a polynomial ; Graphically, a polynomial ... more
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Not a polynomial ; Graphically, a polynomial ... more
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Polynomial ; Graphically, a polynomial function ... more
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Examine the leading term. In the function given, ... more
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falls to the left, rises to the right ; The end ... more
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Falls to the left, rises to the right ; The end ... more
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rises on both ends ; The end behavior of a ... more
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rises on both ends ; The end behavior of a ... more
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falls on both ends ; The end behavior of a ... more
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falls on both ends ; The end behavior of a ... more
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; multiplicity 1; crosses; multiplicity 2; touches... more
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; multiplicity 1; crosses; multiplicity 2; touches... more
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; multiplicity 1; crosses; multiplicity 3; crosses... more
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; multiplicity 1; crosses; multiplicity 3; crosses... more
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; multiplicity 1; crosses; multiplicity 2; touches... more
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; multiplicity 1; crosses; multiplicity 2; touches... more
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The zeros are , , and 2.crosses the -axis at , , ... more
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The zeros are , , and 3.crosses the -axis at , , ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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and have opposite signs. Thus, there is a real ... more
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A polynomial function is a function with terms ... more
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The graph of a polynomial function is considered ... more
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The end behavior of a polynomial function ... more
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To determine the end behavior of a polynomial ... more
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The third-degree polynomial with a negative ... more
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The zeros of a polynomial function are the values ... more
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The graph of a polynomial function crosses the -... more
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If and of a polynomial function have opposite ... more
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The maximum number of turning points of the graph ... more
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It is possible for a polynomial function to have ... more
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It is not possible for the graph of a polynomial ... more
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Step 1: Equate , and solve for to find the -... more
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3.2.50. ; 3.2.51. ; 3.2.52. ; 3.2.53. ; 3.2.54... more
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; Identify the behavior of the graph at both ends... more
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; Identify the behavior of the graph at both ends... more
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; Identify the behavior of the graph at both ends... more
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; Identify the behavior of the graph at both ends... more
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Instructions for TI-83: 1. Change the mode of the... more
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Instructions for TI-83: 1. Change the mode of the... more
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Instructions for TI-83: 1. Change the mode of the... more
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Instructions for TI-83: 1. Change the mode of the... more
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Instructions for TI-83: 1. Change the mode of the... more
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Instructions for TI-83: 1. Change the mode of the... more
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The statement does not make sense. ; To determine... more
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The statement does not make sense. ; The graph of... more
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The statement does not make sense. ; The maximum ... more
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The statement makes sense. ; The -intercept is ... more
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The statement is false. Replace the first "falls... more
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False, should be even (not odd) and should be ... more
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The statement is true. ; An th-degree polynomial ... more
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False, change one of the "rise" to "fall". ; Only ... more
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; Write the factor corresponding to each given -... more
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; Write the factor corresponding to each given -... more
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year 2017 ; Let be the number of years after 1995... more
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; Simplify the inequality by multiplying by the ... more
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Point-slope form: Slope-intercept form: ; Find the... more
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; Perform the process of long division. ; Write ... more
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; The degree of a term with one variable in a ... more
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; Factor the trinomial completely. Use the form... more
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; Arrange the polynomials by descending powers of... more
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. ; Arrange the polynomials by descending powers ... more
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. ; Arrange the polynomials by descending powers... more
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The quotient is . ; Arrange the polynomials by ... more
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The answer is ; Find the remainder when is ... more
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The answer is . ; Because is a zero of , is a ... more
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; Arrange the terms of the dividend by descending... more
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; Apply the laws of exponents when dividing the ... more
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; Divide the first term of the dividend, , by the... more
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; Divide the first term of the dividend, , by the... more
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; Divide the first term of the dividend, , by the... more
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quotientdivisorremainderdividend ; The division ... more
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; Make sure that the terms of the dividend are in... more
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; Make sure that the terms of the dividend are in... more
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true ; The degree of the result of the synthetic ... more
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; Let be the quotient and the remainder when ... more
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; Let be the quotient and the remainder when ... more
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The quotient is . ; Arrange the polynomials by ... more
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The quotient is . ; Arrange the polynomials by ... more
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The quotient is . ; Arrange the polynomials by ... more
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The quotient is . ; Arrange the polynomials by ... more
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The quotient is . ; Arrange the polynomials by ... more
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The quotient is . ; Arrange the polynomials by ... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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The quotient is . ; Arrange the polynomial by ... more
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The quotient is . ; Arrange the polynomial by ... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Arrange the polynomial by descending powers of... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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; Use synthetic division to find the remainder, ... more
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The answer is . ; Use synthetic division to ... more
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The answer is . ; Use synthetic division to ... more
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. ; Given that is a zero of , use synthetic ... more
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. ; Given that is a zero of , use synthetic ... more
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. ; Given that is a zero of , use synthetic ... more
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. ; Given that is a zero of , use synthetic ... more
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When is divided by , the remainder is 0. The ... more
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When is divided by , the remainder is 0. The ... more
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When is divided by , the remainder is 0. The ... more
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When is divided by , the remainder is 0. The ... more
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; Use synthetic division to evaluate .Copy the ... more
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; Use synthetic division to evaluate .Copy the ... more
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Step 1: Divide the first term of the dividend by ... more
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The dividend is equal to the product of the ... more
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After performing division, multiply the quotient ... more
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Step 1: Copy the coefficients of . Step 2: Bring ... more
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If a function is divided by , the remainder is ... more
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The remainder when is divided by is , while ... more
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When the remainder is zero, which is obtained by ... more
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If is a zero of , divide by using long division... more
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3.3.43. ; 3.3.44. ; 3.3.45. ; 3.3.46. ; ... more
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The statement does not make sense. ; When is ... more
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The statement makes sense. ; When a polynomial is ... more
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The statement does not make sense. ; Direct ... more
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The statement does not make sense. ; Zeros of a ... more
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The statement is false; the quotient degree is 3... more
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The statement is true. ; Synthetic division is ... more
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The statement is true. ; Synthetic division is ... more
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The statement is false. The divisor is a factor of... more
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; Obtain the remainder when is divided by , ... more
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. ; The dividend is . The quotient is , and the ... more
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; Divide by . Use the method of long division... more
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Divide both the dividend and the divisor by 2, and... more
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The solution set is . ; Show that the remainder is... more
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Shift the graph of 3 units downward. ; Shift the... more
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The inverse of is ; Substitute for . ; Replace... more
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The solution set is . ; Solve the quadratic ... more
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The solution set is . ; Solve the quadratic ... more
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; Replace with 3 and with . ; Simplify the ... more
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The possible zeros are , , , and . ; Identify the ... more
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The possible zeros are , , , , , and . ; Identify ... more
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The solution set is . ; The leading coefficient... more
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The solution set is . ; The leading coefficient... more
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. ; The leading coefficient, , is 1 and the ... more
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; Write the linear factorization for a third-... more
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There are 0, 2, or 4 positive real zeros, but no ... more
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constant term, leading coefficient, ; The Rational... more
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True ; The leading coefficient, , is 2, and the ... more
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False ; The leading coefficient, , is 3, and the ... more
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; The linear factorization of an th-degree ... more
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; Complex zeros always occur in pairs; if is a ... more
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; A dividend, , can be written as. The divisor is... more
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one ; For example, the linear factorization of is... more
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false ; The number of positive real zeros is ... more
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true ; The number of positive real zeros is equal ... more
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true ; The number of positive real zeros is equal ... more
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The possible rational zeros are , ,and . ; ... more
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The possible rational zeros are , , , and . ; ... more
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The possible rational zeros are , , , , , and... more
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The possible rational zeros are , and . ; Identify... more
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The possible rational zeros are , and . ; Identify... more
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The possible rational zeros are , and . ; Identify... more
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The possible rational zeros are , and . ; Identify... more
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The possible rational zeros are , and . ; Identify... more
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; Write the linear factorization for a third-... more
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; Write the linear factorization for a third-... more
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; Write the linear factorization for a third-... more
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; Write the linear factorization for a third-... more
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; Write the linear factorization for a fourth-... more
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; Write the linear factorization for a fourth-... more
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; Write the linear factorization for a fourth-... more
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; Write the linear factorization for a fourth-... more
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The function has no positive real roots, but has 3... more
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The function has no positive real roots, but has 3... more
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The function has 3 or 1 positive real roots but no... more
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The function has 3 or 1 positive real roots but no... more
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The function has 2 or 0 positive real roots and 2 ... more
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The function has 3 or 1 positive real roots and 1 ... more
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The zeros of the function as , 1, and 5. ; Find ... more
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The zeros of the function are and (multiplicity ... more
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The roots are , , and . ; Find all possible ... more
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The roots are , , and . ; Find all possible ... more
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The zeros are (multiplicity 1), , and . ; Find ... more
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The zeros are (multiplicity 2), , and . ; Find ... more
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The roots are , , , and . ; Find all possible ... more
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The roots are , 2, , and . ; Find all possible ... more
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The zeros are , , 2, and 3. ; Find all possible ... more
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The zeros are , 1, , and . ; Find all possible ... more
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The roots are 1, , , and . ; Find all possible ... more
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The roots are 4, , , and . ; Find all possible ... more
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The roots are (multiplicity 2), , , and . ; Find ... more
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The roots are , , , , and 3. ; Find all possible ... more
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Two possibilities are 10 inches and inches. ; ... more
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Two possibilities are 5 inches and inches. ; ... more
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Use the formula . ; From the given function, , ... more
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The number of zeros of a polynomial function, , is... more
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The number of positive real zeros of a polynomial ... more
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The number of negative real zeros of a polynomial ... more
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When one of the roots of a third-degree equation ... more
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The roots of are complex numbers. ; Let . The ... more
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The leading coefficient is a multiple of 4 and the... more
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Find all possible rational roots of the equation, ... more
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Find all possible rational roots of the equation, ... more
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Find all possible rational roots of the equation, ... more
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Find all possible rational roots of the equation, ... more
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The graph of does not have any real roots. ; ... more
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It is not possible for an odd-degree polynomial ... more
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has one real root and 2 imaginary roots. ; Graph .... more
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The graph of has 3 real roots and 2 imaginary ... more
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The graph of has 2 real roots and 2 imaginary ... more
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The graph of has 2 real roots and 4 imaginary ... more
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The statement makes sense. ; To determine the ... more
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The statement does not make sense. ; The quadratic... more
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The statement makes sense. ; Because is a zero of... more
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The statement makes sense. ; has four possible ... more
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The statement is false; the equation has no ... more
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The statement is false; it does not give the exact... more
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The statement is true. ; A third-degree polynomial... more
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The statement is false; ...has solutions. ; The ... more
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; Write the formula for the volume of the solid. ... more
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degree 3 ; The number of turning points, , of the ... more
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degree 3 ; From left to right, the graph of is ... more
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degree 5 ; The left end behavior and the right end... more
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degree 5 ; The left end behavior and the right end... more
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The end behavior of the graph of a th-degree ... more
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is equal to any real number except 1 and . ; ... more
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Point-slope form: General form: ; Find the slope... more
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The average rate of change is . ; Evaluate at ... more
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, ; Observe from the graph that the function has ... more
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; Observe from the graph that the function has no... more
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; Observe that the graph of does not cross the -... more
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The leading coefficient of the function is ... more
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The leading coefficient of the function is ... more
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The leading coefficient of the function is ... more
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The leading coefficient of the function is ... more
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Find the zeros of . Equate each factor to 0, and ... more
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Find the zeros of . Equate each factor to 0, and ... more
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Find the zeros of . Start by grouping terms with ... more
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Find the zeros of . Factor completely. Equate ... more
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Find the zeros of . Equate to 0, and solve for . ... more
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Find the zeros of . Use synthetic division to find... more
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Find the zeros of . Factor completely. ; Equate ... more
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Find the zeros of . Use synthetic division to find... more
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The solution set is . ; Find the roots of the ... more
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The solution set is . ; Find the roots of the ... more
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The solution set is . ; Find the roots of the ... more
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The solution set is . ; Find the roots of the ... more
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The solution set is . ; Rewrite the equation such ... more
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The solution set is . ; Find the roots of the ... more
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75 units yields the maximum daily profit of . ; ... more
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and yield the maximum product of . ; Let be the ... more
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A triangle with a height of inches gives the ... more
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; Divide by using the process of long division... more
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; Use synthetic division to divide by , where . ... more
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; Write the linear factorization of , where , , ... more
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; Write the linear factorization of , where , , ... more
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Yes, a real zero exists in the interval. ; ... more
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Graph . has a vertical asymptote of , and a ... more
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Determine the symmetry. Evaluate . If , then the ... more
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; Divide by to find the slant asymptote. Use ... more
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polynomial ; For example, is a rational function... more
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The domain of is the set of all real numbers ... more
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The graph of has a vertical asymptote, which is... more
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vertical asymptote ; To find vertical asymptotes, ... more
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horizontal asymptote ; To find the horizontal ... more
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For example, the degrees of the numerator and ... more
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left ; From , when is added to each -coordinate, ... more
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one more than ; For example, has a slant ... more
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; When the degree of the numerator is one more ... more
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The domain is the set of all real numbers except 4... more
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The domain is the set of all real numbers except 8... more
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The domain is the set of all real numbers except ... more
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The domain is the set of all real numbers except ... more
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The domain is the set of all real numbers except ... more
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The domain is the set of all real numbers except ... more
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The domain is the set of all real numbers. ; ... more
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The domain is the set of all real numbers. ; ... more
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; From the graph, observe that as , the value of... more
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0 ; From the graph, observe that as , the graph of... more
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1 ; From the graph, observe that as , the graph of... more
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; Find the value of where is undefined. Use the... more
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; Find the value of where is undefined. Use the... more
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, ; Find the value(s) of where is undefined. Use... more
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, ; Find the value(s) of where is undefined. Use... more
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Vertical Asymptote: ; Hole: ; Simplify . Divide ... more
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Vertical Asymptote: ; Hole: ; Simplify . Divide ... more
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no vertical asymptote ; Find the value(s) of ... more
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no vertical asymptote ; Find the value(s) of ... more
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No Vertical Asymptote; Hole: ; Simplify . Divide ... more
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No Vertical Asymptote; Hole: ; Simplify . Divide ... more
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Vertical Asymptote: , Hole: ; Simplify . Divide ... more
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Vertical Asymptote: , Hole: ; Simplify . Divide ... more
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Vertical Asymptote: ; Hole: ; Simplify . Divide ... more
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Vertical Asymptote: ; Hole: ; Simplify . Divide ... more
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No Vertical Asymptote; Hole: ; Simplify . Divide ... more
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No Vertical Asymptote; Hole: ; Simplify . Divide ... more
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; The degree of the numerator, , is 1, and the ... more
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; The degree of the numerator, , is 1, and the ... more
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; The degree of the numerator, , is 2, and the ... more
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; The degree of the numerator, , is 2, and the ... more
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no horizontal asymptote ; The degree of the ... more
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no horizontal asymptote ; The degree of the ... more
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; The degree of the numerator, , is 1, and the ... more
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; The degree of the numerator, , is 1, and the ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Graph , with a vertical asymptote at and a ... more
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Determine the symmetry. Evaluate . If , then the ... more
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; Find . Perform the indicated operation, and ... more
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; Divide by using the process of long division... more
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; Divide by using the process of long division... more
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A ratio of 10 means that of the deaths are ... more
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A ratio of 9 means that of the deaths are related... more
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As the ratio increases, the percentage of deaths ... more
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None. Because is a horizontal asymptote, the ... more
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A rational function is an algebraic expression ... more
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As continues to decrease, the value of ... more
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As the value of gets closer to from the left, ... more
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Equate the denominator of the rational function to... more
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Given a rational function , where , the horizontal... more
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Determine whether the rational function, , is ... more
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A rational function has a slant asymptote when the... more
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No, because only rational functions whose ... more
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Because the individual's relatives have a history ... more
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3.5.45 ; 3.5.50 ; 3.5.55 ; 3.5.60 ; 3.5.65 ; 3.5.... more
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As increases, the graph approaches the horizontal... more
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The statement does not make sense. It is not ... more
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The statement does not make sense. The function ... more
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The statement makes sense. The horizontal ... more
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The statement does not make sense. As the number ... more
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FalseIt is possible for the graph of a rational ... more
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True ; To find the -intercept of a rational ... more
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True ; After making sure that a rational function ... more
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True ; When a rational function has a vertical ... more
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; From the given vertical asymptote at , write ... more
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; From the given vertical asymptotes at and , ... more
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; From the given vertical asymptote at , write ... more
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; has no vertical asymptote, which means that the... more
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BC Rental is a better deal when travelling for ... more
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; Write the equation such that one side is equal ... more
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; The least common denominator of the two ... more
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; Rewrite the inequality in the form , such that ... more
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; Rewrite the inequality in the form , such that ... more
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; Rewrite the inequality in the form , such that ... more
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; Rewrite the inequality in the form , such that ... more
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; The inequality that the height is more than 64 ... more
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boundary ; Let . The boundary points to find the ... more
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; The graph of crosses the -axis at and . It ... more
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A test value for must be included in the interval... more
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A test value for must be included in the interval... more
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; If the value of at the test value is negative... more
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; Since the right side of the inequality is 0, ... more
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; Since the right side of the inequality is 0, ... more
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; Since the right side of the inequality is 0, ... more
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no solution ; Since the right side of the ... more
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; Since the right side of the inequality is zero... more
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; Since the right side of the inequality is zero... more
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; Since the right side of the inequality is zero... more
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no solution ; Solve the equation , which gives the... more
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; Solve the equation , which gives the -... more
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, ; Rewrite the inequality in the form , such that... more
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, ; Equate the numerator and the denominator of ... more
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; Equate the numerator and the denominator of to... more
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; Rewrite the inequality in the form , such that ... more
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; has a real value when the radicand, , is ... more
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; has a real value when the radicand, , is ... more
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; has a real value when the radicand, , is ... more
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; has a real value when the radicand, , is ... more
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; The solution of the absolute-value inequality ... more
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; The solution of the absolute-value inequality ... more
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; Rewrite the inequality in the form , such that ... more
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; Rewrite the inequality in the form , such that ... more
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; Factor the numerator and the denominator ... more
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; Write the inequality, where the height is more ... more
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; Write the inequality, where the height is more ... more
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or ; Let be the length and be the width of the ... more
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or ; Let be the length and be the width of the ... more
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A polynomial inequality is an inequality where ... more
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A rational inequality is an inequality which ... more
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The solution set of consists of the -values whose... more
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3.6.6 ; 3.6.8 ; 3.6.10 all real numbers ; 3.6.... more
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3.6.43 ; 3.6.45 ; 3.6.47 ; 3.6.43Change the mode ... more
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; Change the mode of the calculator to FUNC. ... more
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; Change the mode of the calculator to FUNC. ... more
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; Change the mode of the calculator to FUNC. ... more
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; Write the inequality such that the left side is... more
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The statement makes sense. ; A test value is a ... more
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The statement does not make sense. A polynomial ... more
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False.The solution set is . ; Observe that when ... more
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False.The inequality can be solved by subtracting ... more
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FalseThe solution sets of the two inequalities are... more
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The rational inequality is undefined at . ... more
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; The boundary points from the given solution are... more
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; The boundary points from the given solution are... more
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; is positive when or . It follows that the ... more
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; When , is equal to 0. When is greater than 2 ... more
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no solution ; is positive when is greater than 2 ... more
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; is positive for all real numbers except when . ... more
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; When the radicand is less than 0, the value of... more
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32 inches ; The length, , is in., and the width... more
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; has real values when the radicand is ... more
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Reflect the graph of over the -axis to obtain the... more
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; Substitute , , and into . ; Solve for... more
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66 gallons ; Write the equation, that is, varies ... more
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512 cps ; Let be the length and be the frequency... more
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24 minutes ; Let be the number of minutes needed ... more
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cubic ft. ; Write the equation, that is, the ... more
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constant of variation ; Direct variation is a ... more
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; When has a direct relationship with the th ... more
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; Inverse variation is a relationship between two... more
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; When is related to and , such that increases... more
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; Joint variation is a relationship between three... more
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directlyinversely ; is an example of combined ... more
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jointlyinversely ; is an example of combined ... more
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156 ; Write the equation given the information. ; ... more
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117 ; Write the equation given the information. ; ... more
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30 ; Write the equation given the information. ; ... more
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2 ; Write the equation given the information. ; ... more
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240 ; Write the equation given the information. ; ... more
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300 ; Write the equation given the information. ; ... more
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50 ; Write the equation given the information. ; ... more
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216 ; Write the equation given the information. ; ... more
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feet ; Write the equation given the information... more
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31 lb ; Write the equation, where the weight of an... more
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80 inches ; Write the equation, where the bounce ... more
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20 pounds ; Write the equation, where the stretch ... more
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approximately 607 lb ; Write the equation, where ... more
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; Write the equation, where the angle, , varies ... more
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; Write the equation, where represents the water... more
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90 milliroentgens/hour ; Write the equation given ... more
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units ; Write the equation given the information, ... more
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24.4; no ; Write the equation given the ... more
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50 ; Write the equation given the information, ... more
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1800 Btu/hour ; Write the equation given the ... more
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72 ergs ; Write the equation given the information... more
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of the original intensity ; Write the equation ... more
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3 times more quickly ; Write the equation given ... more
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Write the equation given the information, where ... more
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As one variable increases, the other variable also... more
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Write the equation of variation, and find the ... more
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As one variable increases, the other variable ... more
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A combined variation is a type of variation where ... more
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A joint variation is a type of variation where one... more
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varies directly as the square root of and ... more
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varies jointly as the square of and the square ... more
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The model for the number of calls between towns ... more
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3.7.21 ; solution: ; 3.7.22 ; solution: ; 3.7.23... more
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The statement does not make sense. The value of ... more
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The statement does not make sense. In direct ... more
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The capacity is multiplied four times. ; The ... more
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Product: 500-gram pack of Vietnam coffeeThe ... more
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was invested at and at ; Let be the principal ... more
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; Rewrite as , and interchange and . ; Solve ... more
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Axis of symmetry: Domain: Range: ; The function is... more
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Axis of symmetry: Domain: Range: ; The function is... more
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Axis of symmetry: Domain: Range: ; Write the ... more
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Axis of symmetry: Domain: Range: ; Write the ... more
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Width: 250 yardsLength: 500 yardsLargest area: 125... more
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, ; ; Let be the first number and be the second ... more
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No, since the value of becomes negative after ... more
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(multiplicity 1) (multiplicity 3)(multiplicity 2... more
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(multiplicity 1) (multiplicity 2) ; Set to zero. ... more
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has a zero between and 2 because is negative and... more
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Determine the end behavior of the graph of . Use ... more
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Determine the end behavior of the graph of . Use ... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Arrange the polynomials by descending powers of... more
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; Apply the Remainder theorem. Evaluate , which ... more
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; Divide by using synthetic division. If the ... more
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; Use synthetic division to divide by , where . ... more
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, ; Identify the leading coefficient, , and the ... more
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,,, ,,,, and . ; Identify the leading coefficient... more
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There are 2 or 0 positive real zeros, but no ... more
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There are 3 or 1 positive real zeros and 2 or 0 ... more
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There are no sign changes in and , thus, has no ... more
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; The given degree of the polynomial function, , ... more
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; The given degree of the polynomial function, , ... more
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; ; Find the possible rational zeros, where the ... more
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; ; Find the possible rational zeros, where the ... more
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There are four real zeros, and one zero has ... more
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There are three real zeros, and 2 imaginary zeros... more
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There are two real zeros, and two imaginary zeros... more
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There is one real zero, and four imaginary zeros... more
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Graph , with a vertical asymptote at and ... more
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Graph , with a vertical asymptote at and ... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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Simplify if the numerator, , and the denominator... more
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The horizontal asymptote is . The number of ... more
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The horizontal asymptote is . The more years of ... more
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; Since the right side of the inequality is zero... more
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; Since the right side of the inequality is zero... more
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; Rewrite the inequality such that the right side... more
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; Let be the left side of the inequality. Equate... more
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; Let be the left side of the inequality. Equate... more
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; Rewrite the inequality such that the right side... more
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; The inequality from the given information is , ... more
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134.4 cubic centimeters ; Write the equation given... more
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1600 feet ; Write the equation given the ... more
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440 vps ; Write the equation given the information... more
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112 db ; Write the equation given the information... more
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16 hours ; Write the equation given the ... more
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800 cubic feet ; Write the equation given the ... more
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Axis of symmetry: Domain: all real numbersRange... more
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Axis of symmetry: Domain: all real numbersRange... more
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23 units; highest profit: ; The function is ... more
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7, ; 49 ; Let be the first number and be the ... more
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The end behavior of the graph of should be , and ... more
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; Identify the leading coefficient, , and the ... more
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There are 3 or 1 positive real zeros and no ... more
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; Identify all the factors of the leading ... more
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; When a curve crosses the -axis at an -intercept... more
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; Write the linear factorization of , where... more
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Since the curve touches the -axis at and turns ... more
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Domain: ; A rational function is defined for all ... more
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Domain: ; Rewrite the right side of the function ... more
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Domain: ; A rational function is defined for all ... more
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Domain: ; A rational function is defined for all ... more
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Domain: ; A rational function is defined for all ... more
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Domain: ; A rational function is defined for all ... more
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; Rewrite the inequality such that the right side... more
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; Rewrite the inequality such that the right side... more
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45 foot-candles ; Write the equation given the ... more
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Domain: Range: ; The graph shows two vertical ... more
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with multiplicity 2; 1 with multiplicity 2. ; The... more
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; The curve rises to the left and to the right. ... more
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3 ; By counting the ticks in the graph, is zero ... more
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; The graph of has two vertical asymptotes at ... more
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Shift the graph of two units to the left to ... more
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; The solution of are the values that satisfy ... more
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; Since the trinomial cannot be factored out, ... more
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; Simplify the equation by multiplying the least ... more
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; Find all the possible rational roots of the ... more
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; The solution of the absolute-value inequality ... more
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; Rewrite the inequality in the form , such that ... more
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Determine the symmetry of the graph of . Evaluate... more
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The degree of the function is two; thus, the graph... more
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Determine the symmetry of the graph of . Evaluate... more
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Determine the symmetry of the graph of . Evaluate... more
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Use the general form of an absolute-value function... more
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The given equation is in the general form of a ... more
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; Substitute into for . ; Simplify the ... more
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; Evaluate . ; Evaluate . ; more