Algebra and Trigonometry (10th Edition)

Chapter 5

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Given the equation , plug-in values of to get ... more

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; Given the two points,  with coordinates  and  ... more

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; Given the domain  and , the average rate of ... more

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{} ; Combine like terms of the equation by adding... more

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; Substitute  for x in the equation, . ; Simplify... more

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The graph of the function does not have a ... more

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Slope ; The slope and -intercept of a line is ... more

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Positive. ; A function is increasing if  increases... more

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If the line is in the graph of the linear function... more

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Give any 2 domain values ( and ) of the function.... more

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The average rate of change remains the same for ... more

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Velocity in the given equation is negative. ; The ... more

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Linear, ; A function is linear when the average ... more

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Nonlinear ; A function is linear when the average ... more

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Nonlinear ; A function is linear when the average ... more

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Linear, ; A function is linear when the average ... more

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Nonlinear ; A function is linear when the average ... more

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Linear, ; A function is linear when the average ... more

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Linear, ; A function is linear when the average ... more

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Nonlinear ; A function is linear when the average ... more

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This option is not possible to have the graph ... more

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This option is not possible to have the graph ... more

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; Yes, the function is odd; ; A linear function is... more

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All positive y-coordinates form the solution of... more

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Group the terms involving , group the terms ... more

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; Derive a formula from the equation  to find... more

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; Average rate of change can be calculated as... more

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Given with condition that , substitute values of... more

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No, because the input value of corresponds to two... more

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; Given the two points and , compute the slope ... more

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Scatter diagram ; A scatter diagram is a ... more

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The correlation coefficient , , is a measure of ... more

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Linear relation ; The points are scattered around ... more

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Nonlinear relation ; The points are scattered ... more

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Linear relation ; The points are scattered around ... more

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Linear relation ; The points are scattered around ... more

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Nonlinear relation ; The points are scattered ... more

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Nonlinear relation ; The points are scattered ... more

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No, the data represents exponential function. The ... more

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; ; The linear relationship between two points is... more

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No correlation. ; When a correlation coefficient ... more

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The value does not make sense. ; There is no any ... more

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or ; Using the two points and ,  compute the ... more

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; The denominator of the function cannot be ... more

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; Substitute the function and using the ... more

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; Add units to in the basic function . ; ... more

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; To find the x-intercepts, set  equal to 0, then... more

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; Factor the equation. ; Set each factor equal to... more

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; Note the values of  and . ; Determine . ; more

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right ; In , the graph of  shifts horizontally  ... more

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parabola ; The graph of a second-degree function ... more

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axis of symmetry ; The right half of the parabola ... more

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; Write the function  in vertex form . Note that... more

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The graph of  opens upward if . ; The graph of  ... more

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; hence,  is the y-coordinate of the vertex.  ; ; ... more

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If , the graph of  has one x-intercept, so it ... more

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If  , the graph of  has two distinct x-intercepts ... more

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shifts to the right by  units. ; shifts to the ... more

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The graph of shifts 1 unit downward. ; The graph ... more

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Consider the graph of the parent function, . It is... more

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Consider the graph of the parent function, . It is... more

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Consider the graph of the parent function, . It is... more

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Consider the graph of the parent function, . It is... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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Write the function in vertex form, . ; Consider ... more

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; Plug and into the vertex form, , of a ... more

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; Plug and into the vertex form, , of a ... more

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; Plug and into the vertex form, , of a ... more

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; Plug and into the vertex form, , of a ... more

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; Plug and into the vertex form, , of a ... more

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; Plug and into the vertex form, , of a ... more

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The minimum value is -18. ; Determine whether   or... more

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Maximum value: 18 ; Determine whether   or in . ... more

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Minimum value; -21 ; Determine whether   or  in... more

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Minimum value: ; Determine whether   or in . In ... more

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Maximum value: 21 ; Determine whether   or in . ... more

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Maximum value: 11 ; Determine whether   or in . ... more

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Maximum value: 13 ; Determine whether   or in . ... more

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Minimum value: ; Determine whether   or in . In ... more

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; Plug in the coordinates of the vertex  and the ... more

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; Plug the coordinates of the vertex and the ... more

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; Let be the distance from the given point to ... more

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; Let be the distance from the given point to ... more

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; ; The given function is quadratic, so the ... more

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; ; The given function is quadratic, so the ... more

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is odd. ; If is even, then it follows that is ... more

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 The similarities among the quadratic functions ... more

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Find the vertex of the graph when . ;    ; Find ... more

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All of the graphs open up since . Find the vertex... more

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The graph of a quadratic function has no x-... more

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The graph of opens up when , and the same graph ... more

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A range of for a quadratic function  if it is the... more

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The graphs of two quadratic functions may not ... more

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The equation is symmetric with respect to the x-... more

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, ; Simplify the inequality by writing all terms ... more

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; Write the equation of the circle using the ... more

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; For a function whose graph is similar to the ... more

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; Set the graphing utility into Statistics mode. ... more

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2,000,000 square meters ; The plot has a length of... more

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500,000 square meters ; The fence of the plot is ... more

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 Heights of the arch:    ; Draw the x-axis so it ... more

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meters by 375 meters  ; Draw the area with as the... more

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; Evaluate at , , and . ; Substitute , , , and ... more

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The area of the region is . ; Evaluate at , , and... more

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; Evaluate at , , and . ; Substitute , , , and ... more

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There will be no demand for a product sold at $140... more

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or ; Add 2 to both sides of the inequality. ; ... more

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; A half-closed (or half-open) interval of the ... more

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; Consider . Verify that the vertex of the ... more

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and  OR   ; Consider . Verify that the vertex of ... more

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and  OR ; Consider . Verify that the vertex of ... more

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and  OR ; Consider . Verify that the vertex of ... more

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OR ; Consider . Verify that the vertex of the ... more

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OR ; Consider . Verify that the vertex of the ... more

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and OR ; Rewrite the inequality into its standard ... more

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OR ; Rewrite the quadratic equation into its ... more

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OR ; Rewrite the inequality into its standard form... more

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OR ; Rewrite the inequality into its standard form... more

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No real solution ; Verify that the vertex of the ... more

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All real numbers; ; Consider . Verify that the ... more

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No real solution ; Rewrite the inequality into its... more

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No real solution ; Rewrite the quadratic equation ... more

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OR ; Rewrite the inequality into its standard form... more

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All real numbers ; Rewrite the inequality into its... more

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OR ; The domain of a square root function includes... more

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OR ; The domain of a square root function includes... more

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; Convert the given velocity, 25mph, from mi/hr ... more

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only at since the parabola opens upward and has ... more

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for all real values of except at since the ... more

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The parabola opens upwards and its vertex is ... more

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The parabola opens upwards and its vertex is ... more

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The -intercepts of a quadratic equation, should ... more

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OR ; The domain of a square root function includes... more

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The function is odd. ; Evaluate the given function... more

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; Multiply the binomials. Note that . ; more

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The function is linear and the slope of the ... more

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The function is not linear. ; The average rate of ... more

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The graph of can be obtained from the graph of ... more

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The graph of can be obtained from the graph of ... more

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The graph of can be obtained from the graph of ... more

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Minimum value is 1. ; The given quadratic function... more

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Maximum value is 12. ; The given quadratic ... more

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Maximum value is 16. ; The given quadratic ... more

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  ; Determine the x-intercept and y-intercept... more

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; Determine the x-intercept and y-intercept of ... more

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Quadratic function: ; The values of the vertex and... more

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Quadratic function is ; The values of the vertex ... more

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. ; The rectangular pond has length of l and width... more

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; The enclosed rectangular field has length of l ... more

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. ; The perimeter of the window is 100 feet.  ; ... more

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. ; The rectangle has its vertex on the line . ; ... more

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; The horizontal bridge is in the shape of a ... more

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X-intercept:Y-intercept: ; Substitute into the ... more

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x-intercept: ,Y-intercept:  ; Substitute into the... more

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Solve to determine the intersecting point of ... more

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The graph of can be obtained from the graph of ... more

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Maximum value is 18. ; The given quadratic ... more

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; Determine the x-intercept and y-intercept of ... more

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The distance is . The midpoint is . ; To find the ... more

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Substitute into the equation.Since this is equal ... more

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; Use algebra to solve the inequality.Subtract 3 ... more

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Use the formula to find the slope between and... more

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Find the slope of the perpendicular line by ... more

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Group terms together.Group terms together.... more

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Yes, it is a function. ; Since each input is only... more

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The domain is ; To find where this rational ... more

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Yes, it is a function. ; Since every vertical line... more

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Neither odd nor even ;  Since , is not even. ... more

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Local maximum: Local minimum: The function is ... more

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