Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.2 Inverse Functions - Exercises - Page 334: 2


$ f(x)=x^2+2$ is not one-to-one, $ f(x)=x^2+2$ is one-to-one on $[0,\infty)$.

Work Step by Step

$ f(x)=x^2+2$ is not one-to-one, because, for example $ f(-1)=f(1)$ and $-1\neq 1$. $ f(x)=x^2+2$ is one-to-one on $[0,\infty)$ (the right side of the parabola).
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