# Algebraic functions

An algebraic function is a function y = f(x) which satisfies a polynomial equation p(x,y) = 0.

Alternatively, an(x)yn + an − 1(x)yn − 1 + a1(x)y + a0(x) = 0, where $a_n(x), a_{n-1}(x), \cdots, a_1(x), a_0(x)$ are themselves polynomials in x.

A function which is not algebraic is called a transcendental function.