Education Technology

Continuity and Differentiability of Functions

Activity Overview

Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.

Before the Activity

Download the teacher file, student worksheet, and TI-Nspire document file.

During the Activity

Encourage students to find multiple answers that make the given piecewise functions continuous.

After the Activity

Encourage students to summarize what they have learned from completing the activity.