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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 53E

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Question

(x + 3)3
4(x – 1)2
16
12
+
4
11
Consider the function f(x)
+
+
Note that
1
(x – 1)2
4
(x – 9)(x + 3)²
24(x + 3)
f'(x) =
and f"(x) =
4(x – 1)3
(x – 1)4
Evaluate all the necessary limits to identify all the linear asymptotes of the graph of f.

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