p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2 8x(x² + 12) (x² – 4)3 - f'(x) = and f"(x) = -

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Evaluate all the necessary limits to identify all the linear asymptotes of the graph
of f.

x³ + x2 – 4
1. Consider the function f(x)
4.x
= x +1+
Note that
x² – 4
x² – 4
-
x²(x² – 12)
(x² – 4)²
8x(x² + 12)
(x² – 4)3
f'(x) =
and f"(x) =
Transcribed Image Text:x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² – 4)² 8x(x² + 12) (x² – 4)3 f'(x) = and f"(x) =
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