22 - Extreme Values

What are extreme values of a graph?

Practice

3.1 # 3,7,11,21,27,55,56,57,58

Vocabulary

Maxima, Minima, Extreme Value, Absolute Maximum/Minimum, Relative/Local Maximum, Relative/Local Minimum

Study Questions

1. What does the Extreme Value Theorem say?
2. Why is continuity important for the conclusion of the Extreme Value Theorem?
3. What can we say about the derivative at the extreme values on an open interval?
4. What is a critical number?
5. Does the Extreme Value Theorem guarantee a critical number?

Resources

1. Slide Deck: Lesson-22-Extreme-Values