Answer
Odd
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.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 3 - Review Exercises - Page 269: 18
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