The function is .

Step 1: Find the zeros.

                       (Set )

                             (Determinant formula)

                   (Substitute , and )

                              (Evaluate powers)

                            (Simplify)

Therefore the roots are imaginary.

There is no zero.

Step 2: Find the asymptotes.

                                   (Set )

                        (Subtract from each side)

                                      (Apply additive inverse property: )

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 .