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 - Page 406: 10


This function is not one-to-one.

Work Step by Step

This function is not one-to-one since $f(x)=0$ for both $x=2$ and $x=-2$ ($2^4-16=16-16=0$ and $(-2)^4-16=16-16=0$) so two different $x$-es: $x=-2$ and $x=2$ both map to the same value $y=0$ which means that there is no one-to-one correspondence between values of the argument and values of the function.
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