Answer
(a). even.
(b). $f(-2)=24$.
Work Step by Step
(a). $F(-x)=-(-x)^4+8(-x)^2+8=F(x)$, thus it is even.
(b). Use the symmetry with respect to the y-axis, we have another local maximum at $f(-2)=24$.
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: 73
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