Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 169: 84

Answer

As can be seen from the graph, $x=y^2$ is not a function because it does not satisfy the vertical line test. On the other hand, $x=y^3$ is an odd function as shown in the figure. It can be generalized that $x=y^n$ is a function of $x$ when $n$ is odd.

Work Step by Step

see above.
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