Quadratic

Rational

Rational

Cubic

Has a maximum of two turning points and three real roots

Logarithmic

Inverse of an exponential

Exponential

Linear

Has at most 1 root and no turning points

Quartic

Square Root

Quartic

Has at most four roots and three turning points.

Logarithmic

5th degree polynomial

Starts down and finishes up and has 4 real roots

Cube Root

Logarithmic

Cubic

Linear

Quadratic

Exponential

Cube Root

Linear

Cube Root

Inverse of a cubic function

Rational, Square Root or Logarithmic

Always has a limited domain

Quadratic

Starts up and finishes up with one real root

Quartic

Square Root

Exponential or Logarithmic

Is strictly increasing or decreasing

Cubic