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: 14

Answer

This function is not one-to-one.

Work Step by Step

If the function $f(t)$ represents your height at age $t$ then for each age you would have to have different heights. This is not true because you can, for example, be $1.75$ m tall at certain age, grow a bit more and then shrink back to $1.75$ m. The same value of $f$ would correspond to two different ages $t$ and thus this function won't be one-to-one.
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