Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.3 Properties of Functions - 2.3 Assess Your Understanding - Page 79: 43

Answer

Neither

Work Step by Step

f(x) = x+|x| Plug in (-x) for x. If the function becomes f(x) it is even. If it becomes -f(x) it is odd. f(-x) = -x+|-x| = -x+x = 0 This can be simplified to neither even nor odd, so it is Neither.
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