Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2 - Page 26: 64

Answer

(a) even (b) odd

Work Step by Step

(a) g(-x) = {[f(-x) + f[-(-x)]}/2 = [f(-x) + f(x)]/2 = g(x) -> even (b) h(-x) = {[f(-x) - f[-(-x)]}/2 = [f(-x) - f(x)]/2 = = -[f(x) - f(-x)]/2 -> odd
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