Education Technology

Piecewise Functions: Continuous-Differentiable

Published on 07/19/2006

Activity Overview

This activity takes a discontinuous, piecewise defined function and redefines it to make it continuous and differentiable at the point of discontinuity.

Before the Activity

See the attached Activity PDF file(s) for detailed instructions for this activity.

During the Activity

Follow the procedures outlined in the activity.

Students will:

  • Understand the concept of continuity and differentiability at a point.
  • After the Activity

  • Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary