Solved: Suppose that a function is continuous on [0, 1]

Chapter 1, Problem 1.5.34

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Suppose that a function is continuous on [0, 1] except at 0.25 and that and . Let N 2. Sketch two possible graphs of , one showing that might not satisfy the conclusion of the Intermediate Value Theorem and one showing that might still satisfy the conclusion of the Intermediate Value Theorem (even though it doesnt satisfy the hypothesis).

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