There are two basic types of functions: algebraic and transcendental. Each class has unique properties that we can use to represent many of the world's events; hence, it is essential to know these types.

## Algebraic Functions

An algebraic function is one we can express in terms of algebra terms. Generally, there are three subtypes:

- Polynomial Functions are functions consisting of polynomials by themselves. An example would be: \(f(x)=a x^2+b x+c\)
- Rational Functions are functions expressed as a quotient of polynomial functions. An example would be: \(f(x)=\frac{P(x)}{Q(x)}, Q(x)\neq{0}\)
- Radical Functions are functions in terms of a radical. An example would be: \(f(x)=\sqrt{x}\)