Question: 4. Find an example of a function f: [0,1] - R such that f is not continuous, but that f satisfies the conclusion of the

4. Find an example of a function f: [0,1] - R such that f is not continuous, but that f satisfies the conclusion of the Intermediate Value Theorem. Intermediate Value Theorem: Let [a, b] C R be a closed bounded interval, and let f: [a, b] - R be a function. Suppose that f is continuous. Let r E R. If / is strictly between fla) and f(b), then there is some c E (a, b) such that f(c) = r

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