Consider the following rational function f(x) = 3x^2 + 2x − 1/4x^2 − 8x (a) Find all the zeros of f(x), showing all working. (b) Find all the vertical asymptotes of f(x) (if they exist), showing all working. (c) Find the horizontal asymptote of f(x) (if it exists), showing all working.

Q: Sketch f(x)=-2√x+1+3. Begin by identifying the parent function. Then describe each transfor- mation…

A: The given function is .The aim is to sketch the graph of the function.

Q: Find all the horizontal asymptotes for f(x) = 3(5x-2) √x²+7 2(x²+3+Sin(x))

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Q: Find all asymptotes of f(x) +3x³+x²+4x+5 x²+1 =x² + 3x + x+5 x²+1

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Q: 2x3 – 3x2 – 11x + 6 - f (x) = x2 + 2x – 3 a) Figure out the symmetry of f (x). b) Find x- and y-…

A: fx=2x3-3x2-11x+6x2+2x-3 a)

Q: Sketch the function R(x)=(3x4+15x3-39x2+21x)/ ( 4x3-20x2+25x). Show all work for intercepts,…

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Q: List all possible rational zeros, find all rational zeros, and factor f(x). 3 f(x) =x-3x-33x+35 13…

A: Given: fx=x3-3x2-33x+35

Q: 10 Identify the vertical asymptotes of f(x) = x2 - 7x - 30 Ox= = 10 and x = 3 Ox = 10 and x = -3 Ox=…

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Q: 3x is The vertical asymptote of f(x) : %3D 2-Inx

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Q: x²-3x+2 y =3 is the only horizontal asymptote of f(x) =- x²–1 True False

A: We have to say true or false for the statement: y=3 is the only horizontal asymptote of…

Q: consider the function f(x) with an unknown zero of 5+2i  f(x)=25x^4-230x^3+529x^2+540x+116 How…

A: Given:f(x)=25x4-230x3+529x2+540x+116 with unknown zero 5+2i

Q: 15. Find all vertical asymptotes of the function x³ - 25x x4 -x3-20.x² g(x) = (a) x = -5, x = 0, and…

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Q: 2-x The function f(x) = has x²-6x+5 two Vertical Asymptotes and one Horizontal Asymptote Select one:…

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Q: Find the vertical asymptotes (if any) of the graph of the function                   f(x) = 3/(x2 +…

A: We have to find vertical asymptotes (if any) of the graph of the function  fx=3x2+x-2

Q: horizontal

A: To find horizontal asymptotes: If the degree (the largest exponent) of the denominator is bigger…

Q: A graph of y=f(x) is shown, where f(x)=2x^5-3x^4+x^3-8x^2+5x+3 and f(-x)= -2x^5-3x^4-x^3-8x^2-5x+3.…

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Q: Use the function (x-6)(x+7)/(x+3)(x+4)(x+7)

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Q: -x2+1 c) = x2-5x+6 3x+4 d) f(x) = x3+3x

A: Given that  The following functions  To find the horizontal, vertical and slant asymptote

Q: x² - 10x 3. Consider f(x) = 9x²-x (a) Find the horizontal and vertical asymptotes of the graph of…

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Q: Consider the following function. q(x) = 3x - Find the horizontal intercept and the vertical…

A: See the detailed solution below.

Q: Consider the function g (x) = (x + 9) / ((x-1) (x-7)) Describe the domain. Describe the scope.…

A: See the attachment

Q: Sketch the graph of the function by (a) applying the leading coefficient test (b) finding the real…

A: Hi, since you have asked multiple questions, we will solve the first question for you. If want any…