Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 208: 85

Answer

The function is neither even nor odd.

Work Step by Step

$f(x)$ is even if $f(-x)=f(x).$ If so, it is symmetric relative to the y-axis. $f(x)$ is odd if $f(-x)=-f(x).$ If so, it is symmetric relative to the origin. ----- Replace x with $-x$ and check the result: $f(-x)=(-x)^{2}-(-x)=x^{2}+x,$ which is neither $f(x)$ nor $-f(x)$. The function is neither even nor odd.
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