Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Appendix D - Graphing Techniques - Exercises - Page 449: 51

Answer

Refer to the curve in Black in Graph I

Work Step by Step

For $y = |x| - 1,$ when $x = 5, y = 4;$ $x = 3, y = 2;$ $x = 0, y = -1;$ $x = -3, y = 2;$ $x = -5, y = 4$ As seen, $y = |x| - 1$ is the vertical translation of $y = |x|$ down by 1 unit as well. Domain = $(−\infty, \infty)$ Range = $[-1, \infty)$
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