Lecture 12 (Calculus) Extreme Value Theorem and Mean Value Theorem

The Extreme Value Theorem guarantees that:

1. A.a continuous function on a closed bounded interval [a,b] attains both an absolute maximum and an absolute minimum
2. B.a differentiable function on any interval attains a maximum somewhere
3. C.any function bounded above has an absolute maximum on its domain
4. D.a continuous function on an open interval (a,b) attains both an absolute max and min