Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.4 Inverse Functions - Exercises Set 0.4 - Page 45: 5

Answer

a) yes; b) no

Work Step by Step

The function is one-to-one if each $y$ corresponds only to one value of $x$. a) The function $f(x)$ is one-to-one because it respects the above rule. b) The function $f(x)$ is not a one-to-one function because there is a value of $y$ which corresponds to more than one value of $x$: $f(1)=4$ and $f(6)=4$
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