Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.1 Inverse Functions - 4.1 Exercises - Page 416: 30



Work Step by Step

The end behavior (behavior at far left and far right) of the graphs of even-degree polynomials is such that at the far ends of the graph, both ends go upwards or both downwards (either both rise without bound, or both descend without bound). This means that there will be horizontal lines that intersect the graph in at least two points... which means the graph fails the horizontal line test. (Picture a U or an upside-down U) So, it can not be one-to-one.
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