The function .
Theorem : Any rational function is continuous at every point of its domain.
\Numerator: The domain of the polynomial function is
and it is continuous in its domain.
Denominator: The domain of polynomial function is
and it is continuous in its domain.
Domain :
\All possible values of is the domain of the function.
Domain of any polynomial function .
Thus the function is continuous at every number on
.
The function is continuous on
.