Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 274: 52

Answer

None.

Work Step by Step

Step 1. To test symmetry with respect to the x-axis, replace $y$ with $-y$, we have $-y=x+15$ or $y=-x-15$ which is different from the original, thus it is not symmetric with respect to the x-axis. Step 2. To test symmetry with respect to the y-axis, replace $x$ with $-x$, we have $y=-x+15$ which is different from the original, thus it is not symmetric with respect to the y-axis. Step 3. To test symmetry with respect to the origin, replace $x,y$ with $-x,-y$, we have $-y=-x+15$ or $y=x-15$ which is different from the original, thus it is not symmetric with respect to the origin.
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