Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.5 - Inverse Functions and Logarithms - 1.5 Exercises: 13

Answer

$f(t)$ is not one-to-one.

Work Step by Step

The football's height changes from its lowest at $t=0$ to its maximum height and then back to its lowest height as it falls. Thus, there are two $t$-values for every $h$ except at the maximum height. Since $f(t)$ does take the same value twice, it is not one-to-one.
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