Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 13 - Partial Derivatives - 13.1 Functions Of Two Or More Variables - Exercises Set 13.1 - Page 917: 75

Answer

(a) The graph of $g$ is the graph of $f$ after shifting to the right one unit in the direction of the x-axis (positive part). (b) The graph of $g$ is the graph of $f$ after shifting upward one unit in the direction of the z-axis. (c) The graph of $g$ is the graph of $f$ after shifting down one unit in the direction of the $y$ -axis and inverting with respect to the plane $z=0$

Work Step by Step

(a) The graph of $g$ is the graph of $f$ after shifting to the right one unit in the direction of the x-axis (positive part). (b) The graph of $g$ is the graph of $f$ after shifting upward one unit in the direction of the z-axis. (c) The graph of $g$ is the graph of $f$ after shifting down one unit in the direction of the $y$ -axis and inverting with respect to the plane $z=0$
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