The rational function is
.
Vertical asymptote can be found making denominator
.
.

is vertical asymptote.
To find horizontal asymptote, first find the degree of the numerator and degree of the denominator.
\Degree of the numerator
and degree of the denominator
.
Here the degree of denominator is greater than degree of numerator,then
is a proper rational function,and the graph of
will have the horizontal asymptote
.
is horizontal asymptote.
The line
is the vertical asymptote of the graph of
.
The line
is the horizontal asymptote of the graph of
.