Students are presented with a several examples of functions to discover the hypotheses and conclusion of the Mean Value theorem. They will explore the concept of continuity and differentiability as related to the Mean Value Theorem.
Before the Activity
This investigation could be used as an introduction to The Mean Value Theorem in calculus. Students should be familiar with the derivative as the slope of a tangent line.
During the Activity
This activity is intended to be student-centered with the teacher acting as a facilitator while students work cooperatively. Students will answer the questions posed on the Q&A Notes pages.