A polynomial function is the sum of monomials (single terms).
is a polynomial.
A Rational function is a faction in which both the numerator and denominator are polynomials.
is a polynomial.
A quadratic function is a second degree polynomial. In other words, the highest power is 2.
is a quadratic. It is also a polynomial.
A radical function has roots, such as square roots or cube roots.
is a radical function.