Answered: f(x) = (x^(2))/(x-9 ) (a) Find the…

f(x) = (x^(2))/(x-9 ) (a) Find the vertical asymptotes. If there are none, show why. (b) Find the horizontal asymptotes. If there are none, show why. (c) Find the critical points and classify them.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

f(x) = (x^(2))/(x-9 )

(a) Find the vertical asymptotes. If there are none, show why.
(b) Find the horizontal asymptotes. If there are none, show why.
(c) Find the critical points and classify them.
(d) Find any points of inflection, or show there are none.
(e) Using the information from the previous parts sketch the graph. Your graph must include dotted lines
for asymptotes and have any critical points or points of inflection clearly marked.

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