Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 227: 78

Answer

For the graph see the image below. This function is not a one-to-one function.

Work Step by Step

$f(x)=\sqrt{x^3-4x+1}$, we can sketch the graph for the following function using a graphing calculator (See the image above). As we can clearly see from the graph it is not a one-to-one function, since there is a $y$ value of the graph which corresponds to more than one $x$ value.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.