A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y= -3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties?

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

A: Given that  Vertical asymptotes at x=5 and x=-3 x intercepts at x=-6 and x=-5 Horizontal asymptotes…

Q: Find a possible formula for the function graphed below. The x-intercepts are marked with points…

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

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at…

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

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

A: Given: Vertical asymptotes are at x=-4 and x=2. x-intercepts at -1,0 and 5,0. y-intercept at 0,1…

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

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

A: We need to tell when will a rational function have a slant asymptote.

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: Determine a rational function that meets the given conditions, and sketch its graph. The function f…

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

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: The graph of a rational function has vertical asymptotes at x=- and r=1, x-intercepts at 2 (-4, 0)…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = 3 x…

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

A: THe required rational function is of the form rx=a pxqx. Given that it has vertical asymptotes at…

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: 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: Sketch the graph of the given rational function by determining the followi a. Intercepts b. Vertical…

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Q: Determine a rational function R(x) that meets the given conditions: R(x) has vertical asymptotes at…

A: Given that R(x) has vertical asymptotes at x=-2 and x=0 and horizontal asymptote is at y=0 and…

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: Sketch a graph that has a vertical asymptote at x=2 and a horizontal asymptote of y=1, and identify…

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

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

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Q: x-1 f (x) = -2 y=0 y=1 y=1/2 No horizontal asymptote

A: If the degree of the denominator is bigger than the degree of the numerator, the horizontal…

Q: Make a sign diagram for the derivative of the rational function. 36 f(x) = x2 4x - 5 f'(x) 0 f (x)…

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Q: 1. Write an equation of a rational function that satisfies ALL of the given the given conditions…

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Q: 2) Give an example of an equation of a rational function Q satisfying all of the conditions:…

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

A: Note: According to the guidelines of Bartleby we will only solve first question for you. Kindly…

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

A: Given:  x=5 and x=-5 are vertical asymptotes      ……1  x=6 and x=2 are x-intercepts…

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

A: Solution

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

A: Given  Vertical asymptote at  x=-3 Horizontal asymptote at y=32 x intercept is x=5 Hole at x=2

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 smallest degree in the numerator and denominator whose graph…

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Q: Use transformations of the graph of y = 1/x to graph the rational function r(x) = X - 1

A: Domain set of all input values where f defined Range Set of all output values

Q: Determine the equation of a rational function f (x) = 8х — 4 that has a vertical asymptote at x = -…

A: Given query is to find the the function with given horizontal and vertical asymptot. Aa

Q: Write the equation of a rational function f(x) = p(x)/q(x) having the indicated properties, in which…

A: Rational function f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept…

Q: Determine a rational function that meets the given conditions, and sketch its graph The function f…

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Q: Find a possible formula for the function which has zeros at x=3 and x=−4. It has a vertical…

A: Let f(x)=g(x)h(x) be the required rational function.

Q: Determine a rational function that meets the given conditions, and sketch its graph. The function h…

A: Given: The function h has vertical asymptotes at x=−7 and x=6​, a horizontal asymptote at y=0, and…

Q: 4. Give an algebraic example of a rational function whose graph has the horizontal asymptote y = -3,…

A: Given :-  Give an algebraic example of a rational function whose graph has the horizontal asymptote…

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

A: Vertical asymptotes at x=-2 and x=3 means (x+2) and (x-3) are denominator factors. Horizontal…

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

A: The rational function hasvertical asymptotes at x=5 and x=-5x intercepts at x=6 and x=2Horizontal…

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: Write a rational function that meets the following criteria: Vertical asymptote at x=1 Horizontal…

A: Function has vertical asymptotes , horizontal asymptotes and has a hole. At asymptotes function is…

Q: Find an equation for rational function if Vertical asymptotes are at x=9 and x=6, x-intercept is at…

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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: Find the domain and vertical asymptote for each of the rational functions: x+5 f(x) = x-2 domain:…

A: (a). Given: fx=x+5x-2 As we know that the rational polynomial function y=fxgx is defined everywhere…

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

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