College Algebra (10th Edition)

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

Chapter 3 - Review Exercises: 20

Answer

Neither

Work Step by Step

To find out if the function is even, odd, or neither, we find $G(−x)$ and compare the result to $G(x)$: $G(x)=1-x+x^{3}$ $G(-x)=1-(-x)+(-x)^{3}$ $=1+x-x^{3}$ This does not equal $-G(x)$ or $G(x)$. Thus, $G(x)$ is neither even or odd.
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