College Algebra 7th Edition

Published by Brooks Cole

Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 19

Answer

$f(x)$ is not one-to-one.

Work Step by Step

The function $f(x)=x^4+5$ is not one-to-one because it fails the horizontal line test (even function). We can show that it has the same $y$ value for two different $x$ values: $f(-1)=(-1)^4+5=1+5=6$ $f(1)=1^4+5=1+5=6$ Thus the function is not one-to-one.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.