Where (for what values of x) does the rational function (x + 28)(x – 92) f(x) 12 x + 97)(x + 16)(x + 49) have (a) holes? (b) vertical asymptotes?

Q: 2x+8x Graph the rational function h (x) = x²- 6x+8 www 12+ 10 9. -12-10 -2 10 -6 -4 -2 -4 -8-…

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Q: Determine the equation of a rational function with vertical asymptotes at x = - horizontal asymptote…

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Q: How do you find the asymptotes of f(x) = [(x^3)-(8x^2)+(11x)-(2)] if there are any asymptotes?

A: Given, fx=x3−8x2+11x−2

Q: Find all vertical and horizontal asymptotes of the graph of the rational function. (Enter your…

A: The given function,       fx=8+x8-x

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

A: Given that the function has a vertical asymptote at x = 3. Thus the denominator of the the given…

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: Find all vertical and horizontal asymptotes of the rational function. 9x3 f(x) = x2 + 8x +15…

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Q: x² – 25 Find the vertical and horizontal asymptotes of the rational function f(x) x2 + 5x

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Q: 8. Find the x and y intercepts, and the horizontal and vertical asymptotes X-4 f(x) 3= %3D x2 -3x-4

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Q: Find the horizontal and vertical asymptotes of the curve y = 2x^2 + 16x + 30/x^2 +x−20

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Q: 12. Write the equations of the vertical and horizontal asymptotes of the rational function. DO NOT…

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Q: Find the vertical, and horizontal asymptote of rational function. Vertical Asymptote Horizontal…

A: Vertical and horizontal asymptote

Q: 5æ? and For the rational function f(x) there are vertical asymptotes at x = x2 - 5x +6 a horizontal…

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Q: Find the equation of the slant asymptote of the rational function. 273 - 4x2 + 7x – 6 f(z) = 2x2 – 5…

A: Using formula of slant asymptote.

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

A: The roots of a function are the values of the variable at which the value of the function is…

Q: 2- Determine the equations of all asymptotes for the function f(x)=(2x++13X³-3x²-…

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Q: 6. Sketch the rational function: f(x) = = "Hole" Sketch -6 Domain Range VA HA . Label graph -2 of:…

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Q: Write a formula for a rational function with the following properties: a removable singularity…

A: Rational function.

Q: x2 – 9x + 18 - Find all the vertical asymptotes of f(x) = x² – x – 6 - -

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Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x – 4) r(x) The…

A: We get the vertical asymptotes when the denominator of the function is zero.

Q: Find asymptotes of (a) f (x) = x+1/ 2x^2 -x (b) f(x) = 3x+1/ x-5 (c) f (x)= 2x^2-3x+3/ 4x-5

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

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Q: Find all vertical asymptotes of the rational function.

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Q: Find the vertical, and horizontal asymptote of rational function. Vertical Asymptote Horizontal…

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Q: Graph the rational function, f(x) *3* Determine the intercepts, asymptotes, and behavior near the…

A: Asymtotes of the rational function

Q: Find the horizontal asymptote of the rational function.  F(x) =  3x3 − 24x2 + 2x − 11/ x5 − 4x3 + 7

A: Given the function: Fx=3x3-24x2+2x-11x5-4x3+7 To find: horizontal asymptote

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: Find the equation of the slant asymptote of the rational function. 22 - 4z² + 7z – 8 F(z) = 2z2 - 5…

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Q: What are the equations of the asymptotes of the rational function? f (x) = x2 +2x-3 %3D 2x2-x-1 Drag…

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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 the horizontal asymptote of the rational function.  F(x) =  3x3 − 24x2 + 2x − 11 x5 − 4x3 + 7

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Q: What is the End Behavior of the following rational function: 2z2+3z-2 y = z+3 Slant Assymptote of y…

A: End behaviour of 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: 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: 1. f(x) x + 4 2x² –13x -7 ||

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Q: If the rational function  y = r(x)  has the vertical asymptote  x = 3,  then as  x → 3+,  either  y…

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Q: The horizontal asymptote of f(x)=0.8^x is y=0 what is the horizontal asymptote of h(x)=0.8^x-10

A: Given   h(x)=0.8x-10Horizontal Asymptoteline y=L is a horizontal asymptote of the functiony=f(x), if…

Q: The following question is about the rational function (x + 1)(x - 3) (x + 3)(x - 7) r(x) = The…

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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: Identify the vertical and horizontal asymptotes of the rational function. f(x) = +3 2х - 6 Vertical…

A: Vertical asymptote: The line x=L is a vertical asymptote of the function y=52x-6+3, if the limit of…

Q: please solve it and show yor work

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Q: EXAMPLE 9 A Rational Function with a Slant Asymptote x² – 4x - 5 Graph the rational function r(x)…

A: Given: r(x) = x2-4x-5x-3 To graph: The given rational function.

Q: 2=2–5z+1, What are the asymptotes of the rational function y T-2 Vertical Asymptote: Horizontal…

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Q: — бх +7 f(x): — 4х + 10

A: Given:

Q: Graph the rational function. f(x) =2x+5 -x+2 Start by drawing the vertical and horizontal…

A: From the given problem: fx=-2x+5-x+2 As we know that; To calculate vertical asymptote, equate the…

Q: 2- Determine the equations the function f(x)=(2x++13X³-3x²- 82x+40)/(x³+2x²-11x-12) of ali…

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Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b)…

A: Explanation of the answer is as follows