Rational Function

Rational Function

Function defined by a relation of the form \(f\left(x\right)=\dfrac {p\left(x\right)}{q\left(x\right)}\) where p(x) and q(x) are polynomials and at least one of the coefficients of q(x) is non-zero.

Example

The function f defined for all real numbers by the relation \(f\left(x\right)=\dfrac {4x-2}{x+1}\) is a rational function.
The graph of the function has two asymptotes :

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