Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.2 The Graph of a Function - 2.2 Assess Your Understanding - Page 69: 50



Work Step by Step

For a function, to every $x$ value there must be a unique $y$. If a function was symmetric with respect to the x-axis, then it would have have an even number of points to each $x$, which if it is at least $2$ then it is not a function. But then there would be no points at all. Hence there is no such function.
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