This activity is a demonstration of the Intermediate Value Theorem and the Extreme Value Theorem from a graphical perspective.
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.
For the Extreme Value Theorem, three figures are given showing an example and two non-examples of the theorem.
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