x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 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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Sketch the graph of f with emphasis on concavity. Label all the intercept points,
relative extremum points, inflection points, and holes (if any) with their coordinates.
Show the asymptotes of the graph of f and label them with their respective equations.

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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