Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 208: 81

Answer

Graphing as instructed, we see that the graph of (b) is obtained by horizontally compressing the graph of (a) by factor 2. the graph of (c) is obtained by horizontally stretching the graph of (a) by factor $\displaystyle \frac{1}{2}$.

Work Step by Step

$f(2x)$ is obtained by horizontally compressing the graph of $f(x)$ by factor 2. $f(\displaystyle \frac{1}{2}x)$ is obtained by horizontally stretching the graph of $f(x)$ by factor $\displaystyle \frac{1}{2}$.
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.