Answered: x² +9 2x(x2 +27) (x² -9)3 1. Find x–… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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Question

x² +9
2x(x2 +27)
(x² -9)3
1. Find x– and y- intercepts of the graph of f, if it has any.
Let: f(x)=
x²-9
f'(x) =
f"(x)=
(x² -9)?"
12
2. Find vertical and horizontal asymptote(s) of f, if it has any.
3. Find the critical number(s), intervals(s) of increasing and decreasing and points o
relative extrema of f, if it has any.
4. Find intervals of concavity and the point(s) of inflection of f, if any.
5. Sketch the graph of f, label all important points from part (1), (2) and (3).

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