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"Value"able Theorems

Activity Overview

Students are introduced to the Intermediate Value Theorem and Extreme Value Theorem from a graphical perspective.

Key Steps

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    This activity is a teacher led demonstration of the Intermediate Value Theorem and the Extreme Value Theorem from a graphical perspective. Students may complete the accompanying worksheet if the teacher desires. The function y1(x) is a continuous function on a finite closed interval [a, b]. The teacher can move a horizontal line up and down to change “k” and graphically demonstrate that there is a value c on the interval [a, b] such that y1(c) = k.

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