The function
.
Substitute
in
.

So the graph of the function includes the
point.
Find the horizontal asymptote of function.
\Definition of a horizontal asymptote :
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
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
.