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Monotonic functions

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Give an example to show that the intermediate value theorem becomes false if the hypothesis that f is continuous is replaced with f being montone, or with f being strictly monotone. (can use the same counterexample for both)

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Solution Summary

This solution helps go through monotonic functions within the context of graph and functions.

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The intermediate value theorem states that for a continuous function F on a closed interval [a,b] for any number k between F(a) and F(b), that is F(a)<k<F(b), ...

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