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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 .
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