College Algebra (10th Edition)

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

Chapter 3 - Review Exercises - Page 269: 31

Answer

1st step (black graph): The parent function: $y=|x|$ 2nd step (green graph): Shifted 4 units down. $y=|x|-4$ The x-intercepts are (-4,0) and (4,0). The y-intercept is (0,-4). The domain is $(-\infty,\infty)$ The range is $[-4,\infty)$

Work Step by Step

The x-intercepts are all points of a graph when f(x)=0 while the y-intercepts are all points of a graph when x=0. The domain is a horizontal span from the function's smallest value of x to the function's largest value of x. The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x).
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