Create a rational function, called F(x), that has: a point discontinuity (hole) At least one x-intercept. One vertical asymptote.

Q: x+5 f (x) = -x+4

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x-intercepts…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 2…

A: Consider Vertical asymptotes at x = -5 and x = 2

Q: Construct a rational function with a vertical asymptote of x=1, -1 and horizontal asymptote 4

A: Since vertical asymptotes are x=1, -1  So the factors of the denominator are (x-1)(x+1) Since the…

Q: It is possible to have a rational function whose graph has no y-intercept.Determine whether the…

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Q: Determine an equation of a rational function with a vertical asymptote at x = 1 and an oblique…

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

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Q: Determine whether the statement is true or false: "It is possible to have a rational function whose…

A: Consider a rational function fx=12x3. The y-intercept of the above function is ∞. So, there is no…

Q: Write an equation for a rational function with Vertical asymptotes at x = 2 and .x = 3 intercepts at…

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

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Q: Consider the rational function y = - - 1 when investigating and z+4 domain range zero х-intercept

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: B. Write a rational functionf that has the specified characteristics. c Vertical asymptote: x = 0…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = 1…

A: Given query is to find the rational function with given characteristics.

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

A: We have to draw the graph

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = 1 %3D %3D…

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Q: Graph the rational function using the minimum of 5 points. Draw the asymptotes as dashed lines. f(x)…

A: To graph the rational function.

Q: Write an equation for a rational function with: Vertical asymptotes at x= 3 and x= -5 x intercepts…

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Q: Write a rational function whose vertical asymptotes are at x = 1, x = 3, x = -5 and whose horizontal…

A: Since the vertical asymptotes are at x=1,  x=3  &  x=-5, therefore the factors of denominator…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x= -6 x intercepts…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 5 x intercepts…

A: Given: Vertical asymptotes at x=6 and x=5, x-intercepts at x=2 and x=-2 and y-intercept at 6. To…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = -3 x…

A: Given

Q: Give an example of a rational function that has a slant asymptote of y=x

A: We have to find an example of a rational function that has a slant asymptote of y=x

Q: Determine whether  the following statement is true or false, and explain why. Every rational…

A: Given statement, Every rational function has either a vertical or a horizontal asymptote - false

Q: If the rational function y = r(x) has the vertical asymptote x = 9, then as x → 9+, either y →…

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Q: Write a rational function with no vertical asymptotes and no holes. Explain.

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

A: Solution

Q: Determine an equation for a rational function with a horizontal asymptote at y = 2,  vertical…

A: We have to determine an equation for a rational function with a horizontal asymptote at y= 2,…

Q: Identify the rational function with the smallest degree in the numerator and denominator whose graph…

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Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

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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…

Q: Write an equation that defines a rational function with a vertical asymptote at x = 1 and a…

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Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: Using a graph, it can be found out whether a function has solutions if the graph cuts the x-axis at…

Q: Write a rational function with vertical asymptotes at x = 6 and x = −2, and with a zero at x = 3.

A: Given vertical asymptotes of a rational function are at x=6 and x=-2. Also zero is at x=3. We know…

Q: Write a rational function that has vertical asymptotes at x= 2 and x = -3, and a horizontal…

A: Vertical asymptote: The vertical asymptote has the form x=-k or x=k. It is obtained by putting the…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we have to determine whether the statement is true or false. If it is false, explain why or give an…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x 2 x intercepts at…

A: To find a rational function with the following properties

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

Q: Find any horizontal and vertical asymptotes and any holes that may exist for the rational function.…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -3 and x = -2 x…

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Q: Write an equation that defines a rational function with a vertical asymptote at x = -2 and a…

A: Horizontal asymptote is where y is zero  Vertical asymptote where denominator is zero

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 3 x intercepts…

A: To Write: An equation for a rational form with:i. Vertical asymptotes at x=−5 and x=3ii. Horizontal…

Q: If the rational function y = r(x) has the vertical asymptote x = 2, then as x → 2+, either y →…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = 3…

A: Question- Write an equation for a rational function with:   Vertical asymptotes at x = 1 and x = 3…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

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

A: To provide examples of given statements.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = %3D x…

A: Given, Vertical asymptotes at x=5 and x=3. Therefore, x-5 and x-3 are the factors of denominator.

Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

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Q: Graph all vertical and horizontal asymptotes of the rational function. f(x) = x+2

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 5 x intercepts…

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