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Asked Dec 1, 2019
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I need help with question 8.d only you can ingnore that other parts of the question.

2x25-3
8. Consider the rational function f(r) =
T2 -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)
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2x25-3 8. Consider the rational function f(r) = T2 -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)

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Expert Answer

Step 1

The given function is

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2x + Гх)- -5х —3 6-

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Step 2

Sketch the graph of f (x) as follows.

Consider y = f (x).

Now assume some values for x and substitute in y an...

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2x2 + 5х-3 у Order pair(x, y) x-9 2(-2)5(-2)-3 5 (-2)-9 (-2,1) -2 5 =1 2(-1) +5(-1)-3 3 (-1-9 (-1,0.75) -1 =0.75 2(0)+5(0)-3 1 (0)-9 (0,0.33) 0 0.33 2(4)+5(4)-3 49 (4)-9 у (4,7) 7 = 7 2(5)+5(5)-3 9 (5)-9 (5,4.5) 5 4.5 П LO

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