College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding - Page 423: 103

Answer

No.

Work Step by Step

We know that if a function is odd, then $f(-x)=-f(x).$ Hence $f(x)=0$ is also odd but it is not one-to-one (because for all $f(x)=0$ multiple $x$s belong). Thus the answer is no.
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