$\"\"$

\

The function $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

So the graph of the function includes the origin point.

\

Find the horizontal asymptote of function.

\

Definition of a horizontal asymptote is $\"\"$ or $\"\"$ .

\

$\"\"$

\

Numerator and denominator approaches to infinity as $\"\"$ tends to infinity.

\

Divide both the numerator and denominator by $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

As $\"\"$ then $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Horizontal Asymptote is $\"\"$ .

\

Observe the given graphs which has origin point in its graph and horizontal asymptote at $\"\"$ .

\

So the graph $\"\"$ is the correct match to the function.

\

$\"\"$

\

The graph $\"\"$ is the graph of the function $\"\"$ .