The function is .

Step 1: Find the zeros.

                            (Set )

                      (Factors)

       (Take square on each side)

and

There is zero at and .

Step 2: Find the asymptotes.

                                     (Set )

                         (Add to each side)

                                           (Apply additive inverse property: )

                                    (Take cube root on each side)

                                       (Simplify)

There is a vertical asymptote at .

The degree of the numerator is greater than the degree of the denominator.

Thus, there is no horizontal asymptote.

The difference between the degree of the numerator and the degree of the denominator is .

Thus there is an oblique asymptote.

The equation of the asymptote is the quotient excluding any remainder.

Thus, the oblique asymptote is the line .

Step 3: Draw the asymptotes:

Make a table of values.

Graph:

Graph the function .

Plot the points obtained in the table.

Graph of the function is

.