Education Technology

"Value"able Theorems

Activity Overview

This activity is a demonstration of the Intermediate Value Theorem and the Extreme Value Theorem from a graphical perspective.

Key Steps

  • Image

    It is stated that f(x) is a continuous function on a finite closed interval [a, b]. The teacher can use a slider to change the value of k and graphically demonstrate that there is a value c on the interval [a, b] such that f(c) = k.

  • Image

    For the Extreme Value Theorem, three figures are given showing an example and two non-examples of the theorem.