The function is .
Find the vertical asymptote by equating the denominator to zero.
\ and
.
The vertical asymptotes are and
.
\
The degree of the numerator is , it is less than the degree of the denominator which is
.
The rational function proper.
\Theorem:
\If a rational function is proper fraction, the line is horizontal asymptote of its graph.
Therefore, the line is horizontal asymptote of the rational function.
The vertical asymptotes are and
.
is horizontal asymptote of the rational function.