Graphical Behavior
Horizontal Asymptotes
Rule 2
If the degree of the numerator is the same as the degree of the denominator, then the horizontal asymptote has the equation 
, where a is the leading coefficient of the numerator and b is the leading coefficient of the denominator.
Example. Determine the horizontal asymptote of the function.
Both the numerator and denominator are linear, so they have the same degree. The horizontal asymptote is therefore 
or y = 2 .
