Answer
(a). odd.
(b). $f(-3)=54$.
Work Step by Step
(a). $g(-x)=(-x)^3-27(-x)=-g(x)$, thus it is odd.
(b). Use the symmetry with respect to the origin, we have a local maximum at $f(-3)=54$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 76: 71
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