Graphs of Functions & Their Derivatives

This study guide covers the Extreme Value Theorem, focusing on its application to continuous functions over closed intervals. It explains how to identify minimum and maximum values, including their potential locations at endpoints or as local extrema. The guide includes a worked example, practice questions, and a glossary of key terms like continuous, differentiable, and local maximum/minimum. It also emphasizes the importance of verifying continuity and differentiability before applying the theorem.