Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 43: 24

Answer

See the image below.
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Work Step by Step

To graph the following function, we will first determine its parent function and then stretch the whole graph step by step. The parent function of $y=|cos(\pi x)|$ is $y=cosx$ (Black dotted line graph in the image). Now, lets transform it a little and graph: $y=cos(\pi x)$, which means shrinking the parent graph horizontally by the factor of $\pi$ (Red line graph in the image) Finally, we graph: $y=|cos(\pi x)|$, which means that we will reflect the portion of the graph below the x-axis about the x-axis (Blue line graph in the image).
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