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 : or
.
Numerator and denominator approaches to infinity as tends to infinity.
Divide both the numerator and denominator by .
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
.