Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.1 - Inverse Functions - 9.1 Exercises - Page 589: 22

Answer

NOT a one-to-one-function

Work Step by Step

Some of the ordered pairs of the given function, $ f(x)=4x^2-1 $, are $ \left\{(-2,15)(-1,3),(0,-1),(1,3),(2,15),...\right\} $. Note that the $y$-coordinates are NOT unique (i.e $15$ is paired with both $-2$ and $2$). Hence, the given function is NOT a one-to-one function.
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