Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.1 - Graphs and Models - Exercises - Page 8: 31

Answer

Symmetric to origin only

Work Step by Step

Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis. (-x)y=4 xy=-4 Equations are not equivalent, so not symmetric to y-axis. Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis. x(-y)=4 xy=-4 Equations are not equivalent, so not symmetric to x-axis. Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin. (-x)(-y)=4 xy=4 Equations are equivalent, so function is symmetric about the origin.
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