The rational function is
.

in lowest terms.
Vertical asymptote can be found by equating denominator to zero.
\
is a vertical asymptote.
\
To find horizontal asymptote, first find the degree of the numerator
\and degree of the denominator.
\Degree of the numerator is
and degree of the denominator is
.
Since the degree of the numerator is equal to the degree of the denominator,
\horizontal asymptote is the ratio of leading coefficient of numerator and
\denominator.
\Leading coefficient of numerator is
, leading coefficient of denominator is
.
is horizontal asymptote.
The line
is the vertical asymptote of the graph of
.
The line
is the horizontal asymptote of the graph of
.