The rational function is .

Write the function in lowest terms:

Find the vertical asymptote by equating the denominator to zero.

is vertical asymptote.

Find the horizontal asymptote:

First find the degree of the numerator and degree of the denominator.

Degree of the numerator and degree of the denominator .

Since the degree of the numerator is greater degree of the denominator,

then is improper.

If the degree of numerator is or more greater than the degree of denominator,

the quotient obtained is a polynomial of degree or higher and has neither a horizontal

or oblique asymptote.

Since the degree of numerator is or more greater than the degree of denominator the

function has neither a horizontal or oblique asymptote.

Vertical asymptote: .

No horizontal or oblique asymptote.