Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix D - Graphing Techniques - Exercises - Page 444: 2c

Answer

D

Work Step by Step

According to the rules of reflecting across an axis, the graph of $y=f(-x)$ is the same as the graph of $y=f(x)$ reflected across the y-axis. Therefore, upon comparing $y=\sqrt[3] x$ and $y=\sqrt[3] {-x}$, it becomes clear that $y=\sqrt[3] {-x}$ is a reflection of $y=\sqrt[3] x$ across the y-axis. This means that the equation $y=\sqrt[3] {-x}$ is matched with option D in Column II.
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