College Algebra (10th Edition)

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

Chapter 3 - Review Exercises - Page 269: 18



Work Step by Step

To find out if the function is even, odd, or neither, we find $f(-x)$ and compare the result to $f(x)$: $f(x)=x^{3}-4x$ $f(-x)=(-x)^{3}-4(-x)$ $=-x^{3}+4x$ $=-(x^{3}-4x)$ $=-f(x)$ Thus $f(x)$ is odd.
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