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

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: The graph below belongs to a rational function f(z) = p(z) with horizontal and vertical asymptotes y…

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Q: Find the horizontal asymptote of the given rational function. f(x) = 1/5x choices y=0 y=1/5…

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Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

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Q: f(x) = -1 O -5 -1/5

A: Given that  f(x)=1/(5x)  To Find the vertical asymptote of the given rational function

Q: Sketch the graph of the given rational function by determining the following: a. Intercepts b.…

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

Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: x³ - 2x? + 4x - 8 x² - 11x + 18 is undefined. Determine whether an asymptote or a hole Determine…

A: We have given function Rx=x3-2x2+4x-8x2-11x+18 Function is undefined where denominator is zero. If,…

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: 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: Let s be the rational function a" + a,- p +...+ ax + ag s(x) br" + bm- " + bx + bo How do you find…

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Q: Find the zeros and asymptotes for the rational function   r(x) = (x^3+x)/(2x^2-2) Sketch the…

A: Given query is to find the zeros and asymptot of the function.

Q: 3. Write an equation for a rational function with the properties as given. a) a hole at x = 1 b) a…

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Q: Given the equation of a rational function, fill in the information in the table: ation у-intercept…

A: Here, we are going to solve only one question and for the remaining question post the question…

Q: 4. Find the x-intercepts of the rational function y = 2² -r-2 p³ – 3x²+2° O x = -2, 1. O x = 2, –1.…

A: Given that:                      7. f(x)=x-1x+18. g(x)=2x+13x+19. f(x)=2x2+x-12x+3       NOTE: As…

Q: The following question is about the rational function r(x) =  (x + 1)(x − 2) (x + 2)(x − 7)…

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Q: Write an equation of a rational function r( x P(x) with the x-axis as q(x) %3D its horizontal…

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Q: Find the vertical asymptotes of the rational function. x +9 35) g(x) = x2 +1

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Q: Find an equation of a rational function having the given asymptotes, intercepts, and graph. The…

A: Given

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: x2 + 3x – 4 - Consider the rational function f(x) x2 – x – 6 (a) Find the domain of f and the…

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Q: 3. a. Create a rational function R(x) that satisfies all of the following: i) no x-intercepts ii) a…

A: we have to create a rational function R(x) , (1) to show that a hole at (2,15):- Now we have a…

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: 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: 8z2-5+1 f (x) Which of the following is the horizontal asymptote of the rational function 42-3 ? O…

A: Let's find.

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

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

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Q: If the rational function y = r(x) has the horizontal asymptote y = 9, then y → _____as x → ±∞.

A: We know that, For the given function,  x → +∞ and  x → -∞ when y= the horizontal asymptote. Here,…

Q: If the rational function y = r(x) has the horizontal asymptote y = 4, then y →as x→±∞.

A: Given If the rational function y = r(x) has the horizontal asymptote  y = 4

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

A: We have to use given properties of function.

Q: State the equation of the rational function that meets these conditions: 1. Vertical asymptote at x…

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Q: 32. The rational function y 7x has a horizontal asymptote at y =a and a vertical x -2 asymptote at æ…

A: The given rational function is y=7xx-2

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: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A: Given query is to find indicated function.

Q: Find the equation and sketch the graph of the function. A rational function tha: passes through 0..…

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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: -2(x+1)(x+4) (x+2)°(x-3) -(x+1)(x+4)² 2(x-2) (x+3) -2(x-1)(x-4) (x-2)° (x+3) A) R(x) =: B) R(x) =:…

A: We have to find the function using the given data

Q: Find the vertical asymptotes of the rational function. f(x)= x-5/25x-x^3 a. x=0,x=5 b. x=−5,x=5…

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Q: 16. Given the rational function, find the following x2 + 7x + 12 f(x) 9 – x2 a. Domain b. Vertical…

A: Question 16,Given,            y=x2+7x+129-x2

Q: please solve it and show yor work

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Q: consider the rational function f(x)= 2x+1 / x-5  1. state the domain of the function  2. Find the…

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Q: Find a rational function that satisfies the given conditions. Answers may vary, but try to give the…

A: We find a rational function if vertical asymptotes is x=-3 and x=5 and x-intercept (4,0).     Here i…

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: State the equations of the vertical and horizontal asymptotes for the rational function. f(x) = -11)…

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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: Consider a rational function r(x) : p(x) Pe, where the degree of p(x) is m, and the degree of q(x)…

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Q: Consider the rational function: R ( x ) = −3x^5 +5x^2+7/ 2x^4−7x+1 it has an oblique asymptote. Find…

A: To determine the equation of oblique asymptote.