Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 274: 57

Answer

neither.

Work Step by Step

Step 1. Replace $x$ with $-x$, we have $f(-x)=(-x)^3-(-x)+9=-(x)^3+(x)+9\ne f(x)$, thus it is not even. Step 2. Replace $x$ with $-x$, we have $f(-x)=(-x)^3-(-x)+9=-(x)^3+(x)+9\ne-f(x)$, thus it is not odd.
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