Find a formula for a rational function that has a vertical asymptote atx = 3 and a horizontal asymptote at y = 4.

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

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Q: Write down a formula of a rational function with all the following features. 1. The vertical…

A: Topic :- Function

Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical…

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: 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: 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: Find constant a and B that guarantee that the graph of the function defined by f(æ) = ax+1 2-Ba will…

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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: 4. Sketch the graph of the following rational function. 12x h(x) 5x² + 318x – 420 Part A: y…

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

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Q: A rational function has a point of discontinuity at x = 3 and a vertical asymptote at x = -5. The…

A: We need to write a function in the form of f(x)=x-ax2+bx-c

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: 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: For the function f (x) = 2x² +1 x² –1 Vertical asymptotes are at x = and Horizontal asymptotes is at…

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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 formula f(x) for a rational function so that its graph has the specified asymptotes.…

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

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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: If the rational function y = r(x) has the horizontal asymptote y = 1, then y as x

A: Given, rational function is y=r(x) has horizontal asymptote at y=1.

Q: Create a rational function that has the followingcharacteristics: crosses the x-axis at 3; touches…

A: It is given that, A ration function crosses the x-axis at 3, touches the x-axis at - 2; one vertical…

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

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Q: Find the following for the given rational function: x+6 r'-x-6 2 f(x)= Vertical Asymptote:…

A: Hello there! there are more than 3 parts in the mentioned question. According to our policies can…

Q: Under what circumstances does a rational function have a slant asymptote?

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Q: If the rational function

A: Vertical asymptote: x = a is a vertical asymptote of y = f(x) if at x = a function is not defined.

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

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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: 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: Find the equation of a rational function that has a vertical asymptote at x = 2 and a horizontal…

A: It is given that, the vertical asymptote of the function is x=2 and the horizontal asymptote of the…

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 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: Create a rational function that matches everything below Has zero at (3,0) has a hole at (-1,4)…

A: Here is the solution of the given problem

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 = 5, then y → as x → to.

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -4 and x = -6 %3D x…

A: Topic = Functions

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: 1. Determine the equation of the vertical asymptote f (x)%3D 2x - 5

A: We will find the equation of vertical asymptote as following.

Q: If the rational function y  r1x2 has the horizontalasymptot

A: Given :  If the rational function  y=r(x) has horizontal asymptote y=2.      Horizontal…

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: Find a possible formula for the rational function with the following properties: - zeros at x=3…

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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: 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 = 3 and x = 1 x intercepts…

A: We have to find the function

Q: 2. If the rational function y = r(x) has the horizontal asymptote y = 2, then y→- as x t00.

A: if the rational function y=r(x), has the horizontal asymptote y=2, then

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

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Q: Write a possible formula for a rational function, f(x), with zeros at x=-6, x=2, vertical asymptotes…

A: To Determine: write a possible formula for a rational function f(x) with zeros at x=-6 ,x=2…

Q: Give a possible formula for a rational function with vertical asymptotes x = 1 and r = -1,…

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