Sketch the graphs of the given rational functions, and include the following information: (i) real roots (x-intercepts), (ii) y-intercept, (iii) vertical asymptotes, and (iv) end behavior, including horizontal asymptotes. 1. x – 2 (a) f(x) x + 1

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A: Topic :- Function

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A: Topic  =Function

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A: As per bartleby guidelines we only give first question answers.

Q: 10. A rational function has a slant asymptote when

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Q: A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the…

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Q: Sketch the graphs of the given rational functions, and include the following information: (i) real…

A: The given problem is solved in detail below.

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A: For vertical asymptotes of a rational function, take denominator zero

Q: Determine the domain and the equations of the asymptotes for the graph of the rational function.

A: as we can see from the graph, the vertical asymptote is x=2 so the domain is -∞ , 2∪2, ∞

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Q: Find the horizontal and vertical asymptotes of the rational function f(z)

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Q: 5. Identify the horizontal asymptote, vertical asymptote, x-intercept, and y-intercept of the…

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Q: ах + b Write a rational function in the form of f(x)= that has a zero at x=-1, a vertical asymptote…

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Q: 22. Find the equation of a rational function that could have the graph shown. Take into account…

A: 22. To Find: The equation of a rational function that could have the graph given. Also we have to…

Q: Provide an example of : a) a quadratic whose reciprocal function will not have any vertical…

A: To provide an example of a)   a quadratic whose reciprocal function will not have any vertical…

Q: Find a formula for a rational function that has a vertical asymptote atx = 3 and a horizontal…

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Q: The graph of the rational function shown above has vertical asymptotes at x =-2 and

A: Given, Vertical asymptotes: and Horizontal asymptote: From the given graph, we have x-intercepts…

Q: 16. Construct an equation of a rational function whose graph has a hole at the coordinates (-2, 0),…

A: Given, x=1, x=-3, y=-5 are vertical and horizonatal asymptote. vertical asymtote is the denominator…

Q: x+8 f (x) = 2x+1

A: We have to draw the graph

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Q: Do the following: 1) Sketch a rough graph of a rational function that has ONE vertical asymptote;…

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Q: 5. Sketch the graph of the following rational function. 2x – 1 f(x) x² + 2x – 3 Part A: y…

A: In the question it is asked to draw the graph and mark points in it.

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A: Given that, the graph has a vertical asymptote at x=2. The vertical asymptote occurs where the…

Q: Consider the rational function f given below. f(x) =  x x2 + 2x − 8 Identify any vertical…

A: to analyze the given function for vertical asymptotes and study the behaviour as x tends to infinity…

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A: We have to create and draw the graph of rational function.

Q: Find an equation of a rational function f that satisfies the given conditions. vertical asymptotes:…

A: Solution:-Given ,vertical asymptotes:x=-5,x=3horizontal asymptote:y=0x-intercept:-1;f(0)=-2hole at…

Q: Where (for what values of x) does the rational function (x + 28)(x – 92) f(x) 12 x + 97)(x + 16)(x +…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -3 %3D x…

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Q: Graph all vertical and horizontal asymptotes of the rational function. -x +4 x + 2x- 3 s() = %3D

A: We have to find vertical and horizontal asymptotes.

Q: (a) Create a rational function /(x)such that the function has: 2 vertical asymptotes 1 hole 1…

A: Solution

Q: 10) Is it possible for a rational function to have an oblique asymptote with no vertical asymptotes?…

A: Is it possible for a rational function to have an oblique asymptotewith no vertical asymptotes?If…

Q: Use the graph of the rational function to complete the following statement. 10- As x → - 3, f(x) →…

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Q: 8. How do you determine whether a rational function has a horizontal asymptote?

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Q: Write an equation for a rational function whose graph ha • vertical asymptote with equation x-3 •…

A: Introduction: Rational functions are those in which the denominator polynomial is not equal to zero…

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A: Here is the solution of the given problem

Q: 1. f(x) x + 4 2x² –13x -7 ||

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Q: Sketch the graph the rational function, including all asymptotes. 4x 20) f(x) 20) (x + 1)(x - 2) ++…

A: The graph of the function is shown in the figure below with 3 asymptotes x=-1, x=2 and y=0

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Q: Sketch the graphs of the rational functions y = x4 - 1/x2

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Q: Find an equation of a rational function f satisfying the following Vertical asymptote: x = −1, x =…

A: Consider the rational function y=fxgx. Given that the Vertical asymptotes are x = −1 and  x = 1.…

Q: Sketch the graphs of the given rational functions, and include the following information: (i) real…

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Q: Write an equation for a rational function with: Vertical asymptotes at x= -4 and x = 2 x intercepts…

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Q: Graph all vertical and horizontal asymptotes of the rational function. 11 S4)= -2x+4x-2 田

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