College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.3 - Properties of Function - 3.3 Assess Your Understanding: 43

Answer

Neither even nor odd

Work Step by Step

We determine whether the given function is even or odd: $f(x)=x+|x|$ $f(-x)=-x+|-x|=-x+|x|$ Since $f(-x)\ne f(x)$ and $f(-x)\ne -f(x)$, the function is neither even nor odd.
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