## Calculus 10th Edition

Published by Brooks Cole

# Chapter P - P.1 - Graphs and Models - Exercises - Page 8: 34

#### Answer

Symmetric to origin

#### Work Step by Step

Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis. (-x)y-$\sqrt (4-$$(-x)^{2})=0 -xy-\sqrt (4-$$x^{2})$=0 Equations are not equivalent, so not symmetric to y-axis. Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis. x(-y)-$\sqrt (4-$$x^{2})=0 -xy-\sqrt (4-$$x^{2})$=0 Equations are not equivalent, so not symmetric to x-axis. Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin. (-x)(-y)-$\sqrt (4-$$(-x)^{2})=0 xy-\sqrt (4-$$x^{2})$=0 Equations are equivalent, so function is symmetric to origin.

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