College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding - Page 259: 75

Answer

See the graph below

Work Step by Step

$y=|f(x)|$ For all negative values of $f(x)$, mirror image about x-axis to be taken and positive $f(x)$ will be as it is. $y=f(|x|)$ In this case argument of $f(x)$ is always positive, So for $x \geq 0$, $y = f(x)$ to be plotted for x<0, we take the mirror image of graph $y = f(x)$ for $x>0$ about y-axis
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