Rational Function
Function defined by a relation of the form [latex]f\left(x\right)=\dfrac {p\left(x\right)}{q\left(x\right)}[/latex] 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 [latex]f\left(x\right)=\dfrac {4x-2}{x+1}[/latex] is a rational function. The graph of the function has two asymptotes :