Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.1 Inverse Functions - 6.1 Exercises: 15

Answer

This is not a one-to-one function.

Work Step by Step

The ball will first ascend and then it will descend so it will pass the half of the maximum height twice - once when it ascends and once when it descends. This means that there are different moments of time to which corresponds the same value of the height (which is the function of time) so $f(t)$ is not one-to-one.
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