The rational function is .

In lowest terms .

The rational function is .

Find the vertical asymptote by solving denominator to zero.

.

Find the horizontal asymptote :

The rational function is .

Here the degree of the numerator is greater than denominator,

So the function will have oblique asymptote.

Degree of the numerator and degree of the denominator .

Here quotient is .

Oblique asymptote is .

Vertical asymptote is .

Oblique asymptote is .