College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Review - Exercises: 91

Answer

No, the function is not one-to-one.

Work Step by Step

We are given: $h(x)= \frac{1}{x^{4}}$ This function is not one-to-one because it fails the horizontal line test (it is an even function). We can show that this function has the same $y$ value for two $x$ values: $h(-1)= \frac{1}{(-1)^{4}}=1$ $h(1)= \frac{1}{(1)^{4}}=1$ Thus the function is not one-to-one.
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