$\"\"$

The rational function is $\"\"$ .

Vertical asymptote can be found by equating denominator to zero.

$\"\"$

$\"\"$ is vertical asymptote.

To find horizontal asymptote, first find the degree of the numerator and

degree of the denominator.

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 line $\"\"$ is the vertical asymptote of the graph of $\"\"$ .

The line $\"\"$ is the horizontal asymptote of the graph of $\"\"$ .