The equation is .

(a)

Find the intercepts.

Find the -intercept by substituting in the equation.

and

and .

-intercepts are and.

Find the -intercept by substituting in the equation .

and

and

and

intercepts are and .

Intercepts are and .

(b)

Test algebraically symmetric with respect to the -axis:

Substitute for in .

Because is equivalent to , the graph is symmetric with respect to the -axis.

Test algebraically symmetric with respect to the -axis:

Substitute for in .

Because  is not equivalent to , the graph is not symmetric with respect to the -axis.

Test algebraically symmetric with respect to the origin:

Substitute for and for   in

Because is not equivalent to , the graph is not symmetric with respect to the origin.

(a) Intercepts are and .

(b) -axis symmetry.