2.x2 + 5x – 3 8. Consider the rational function f(x) x2 – 9 (a) Find the domain of f(x). Show your work! (b) Find all zeros of f(x). Show your work! (c) Find all horizontal and vertical asymptotes of f(x). Show your work! (d) Sketch the graph of f(x).

Q: Find the limit of the rational function (a) as x0o and (b) as x- oo. 4x + 7x°-1 f(x) = 6x° - 2x+2…

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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: Find the limit of the rational function (a) as x→∞ and (b) as x→ - o. 2x° + 3x2 - 1 f(x) = 9x° - 5x+…

A: a).  Given: limx→∞ 2x9+3x2-19x5-5x+9 Now find the limit. limx→∞ 2x9+3x2-19x5-5x+9=limx→∞…

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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: 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: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

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

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Q: In a rational function, as x⟶∞,y⟶∞.  It follows that the rational function has ___________ Suppose…

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

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Q: Find the limit of the rational function a. as x→∞ and b. as x→ - o. Write o or - o where…

A: (a) The given function is hx=2x48x4+9x3+11x2.

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

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Q: 4. Let (x) - 6x² + 13x+7 3x + 2 What is the equation of the oblique asymptote of f(x)? From what…

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Q: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

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

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Q: Consider the rational function f given below. f(x) =  x x2 + 2x − 8 Identify any vertical…

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Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: State the a) vertical asymptotes, b) horizontal asymptotes and c) zeroes of the rational function,…

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

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Q: The following question is about the rational function r(x) =  (x + 1)(x − 2) (x + 2)(x − 9)…

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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: For the rational function f(x)=5x2x2−5x+6f(x)=5x2x2-5x+6, there are vertical asymptotes at x= and…

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Q: 1. Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x =…

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

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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

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Q: 1) State the vertical asymptotes of f(x)= a. x=6₂x=-2 b. x=6, x=2 1 x² - 4x-12 c. d. x=-6, x=-2…

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

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Q: 1 State the vertical asymptotes of f ( x 22—4а —12 Ox = 6, x = -2 Ox = -6, x = -2 Ox = 6, x = 2 Ox =…

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

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Q: find the intercept of f(x)=4x-4/x-2 2.find the asymptote of 3x+6/x2+2x-8 3. sketch the graph of…

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Q: The horizontal asymptote of  f(x) = x / (x2 + 3) is ?

A: Explanation of the solution is given below...

Q: Where (for what values of x) does the rational function (x – 3)(x + 4) - f(x) = 36 (x + 74)(x – 3)(x…

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

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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