Answer
neither
Work Step by Step
$f(x)=x+|x| \longrightarrow f(-x)=-x+|-x|=-x+|x|$. As $f(-x)\ne f(x)$ and $f(-x)\ne -f(x)$, it is neither even nor odd.
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 75: 39
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