The function is .

Step 1:

Find the zeros.

                               (Set )

                     (Quadratic roots formula)

        (Substitute and )

                           (Evaluate powers)

                                 (Add and simplify)

                                 (Use caluculator: )

and                (Simplify)

There are two zeroes at and .

Step 2: Find the asymptotes.

                                         (Set )

                             (Add to each side)

                                               (Apply additive inverse property: )

Vertical asymptote is 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 the function .