# Extreme Value Theorem

The extreme value theorem states that a continuous function on a closed interval has both a maximum and minimum value.

Extreme value theorem is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.

### Prerequisites

Continuous Function: | A continuous function is function with no jumps, gaps, or undefined points. |

Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |