Pre-Calculus, 9th edition

 PAGE: 42 SET: Exercises PROBLEM: 9

The equation is

Find the -intercept by substituting in the equation.

-intercept is .

Find the -intercept by substituting in the equation.

-intercept  is .

To test the symmetry with respect to the -axis replace with .

is equivalent to original equation

So the graph is symmetric with respect to -axis.

To test the symmetry with respect to the -axis replace with .

is not equivalent to original equation

So the graph is not symmetric with respect to  -axis.

To test the symmetry with respect to the origin replace  with and with .

is not equivalent to original equation

So the graph is not symmetric with respect to origin.

-intercept  and -intercept is .

symmetric with respect to -axis.

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