Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 230: 102


Not a one-to-one function; no inverse

Work Step by Step

The function $d(t)$ represents the depth of the tide in terms of the time $t$ over a 24 hours period. The function $d$ is a one-to-one function if every input corresponds to only one output. As the tide oscillates, there are times $t$ for which the depth is the same, so the function is not one-to-one; therefore it doesn't have an inverse.
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