Identify all the linear asymptotes of the graph of f by evaluating all the limits necessary.  Given: f(x) = (x+3)^3 / (4(x-1)^2 ) = 12 / ((x-1)) + 11/4 + 16 / (x-1)^2 + x/4

Q: Determine the limit using any possible methods Зx* — 7х3 + 2x2- 2х +9 lim x-00 4x* – 3x³ – x² + 11x

A: We need to determine limx→∞3x4-7x3+2x2-2x+94x4-3x3-x2+11x

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: write a rational function that has a removable drscontinuity on its graph ax X = 3.

A:

Q: find domain and asymptotes of  fx= x^2+x-2 over x^2-2

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Q: Find the limit: lim 8118 8-∞ 03 4 2 8 314 (3x − 1)√9x¹ +1 12x³-1

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Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: Sketch a graph of f(x) = -5 -4 -3 -2 -7 Clear All Draw: 5 4 3 2 1 -1 -2 -3 -5 wwwww 7 ' -3 x-1 P WWW…

A: Draw the graph as per condition

Q: For the function  below, determine the open intervals where it is decreasing. f(x)=(x+4)^2/3 Group…

A: The objective of this question is to find the intervals where the function f(x) = (x+4)^2/3 is…

Q: Sketch the graph of the following function: f(x)=8x^2-x^4. State the asymptotes, whether or not a…

A:

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

A:

Q: Using the function f: (-1,2] R, f(x) = 4x³ - 3x2 – 6x +2, a. Determine all the stationary points…

A: Given: f: (-1,2]→ f(x)=4x3-3x2-6x+2 To determine all the stationary point of this function in the…

Q: Determine lim f1x2 and lim f1x2 xS-0 for the following functions. Then give the horizontal…

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Q: lim (4x – V16x² + 3x – 5 (4* Зх — 5 00-x

A:

Q: What is the function's end behavior? f(x) =x-3x3 +x - 3 Select all that apply. A → + 00, as x→ + 00…

A: We have to find the option

Q: 1. Find the intervals Of concarity and the inplection points of f (x) - 2x3+ Cox² -10x +5 .

A: see below the answer and explanation

Q: Find a graph of ƒ (x) = ()*. )". State the domain, range, and asymptote.

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Q: a. f(x) = x²-x-2 x+1

A: Given function is,"As per the rules, we are supposed to answer the first question, and the rest…

Q: The limit lim √9x² + 2 xxx-4 evaluates to

A:

Q: mr-∞ (√√16x² - 5x +4x)

A: Given query is to find the limit.

Q: Consider the function f(x)=x^2-4 / x^2-9. State the domain. State the horizontal and vertical…

A: Note: Multiple subparts are given we are answered with first three parts only.

Q: EVALUATE : 1-COS2(X - 2) LIM X-2 X - 2

A:

Q: Which of the following are vertical asymptotes of f(x) = x2 - 2X 7 x² – 4 x=0 x=-1 x=-2 X=1 x=2

A: Recall:  To find vertical asymptote, set the denominator equal to zero and solve for x. Given,…

Q: Find the limit: √2x + 30-6 x+3x²8x + 15 lim ||

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Q: Find (with justification) the vertical and horizontal asymptotes of the function f(x) (show all…

A: Let's find.

Q: Graph the functions f(x)= -2x -1 and g(x)= -1/2(x-2)^3 - 5 by hand to determine graphically where…

A: First we have to graph both the functions using shifting, scaling and flipping.