14.7. Intermediate and Extreme Value Theorems http://www.ck12.org
Simply stated, if a function is continuous between a low point and a high point, then it must be valued at each
intermediate height in between the low and high points.
The Extreme Value Theorem states that in every interval[a,b]where a function is continuous there is at least one
maximum and one minimum. In other words, it must have at least two extreme values.