Give an example of a (discontinuous) function that does not satisfy the conclusion of the IVT on

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Give an example of a (discontinuous) function that does not satisfy the conclusion of the IVT on [−1, 1]. Then show that the function

f(x) = - sin- 0 X # 0 x = 0

satisfies the conclusion of the IVT on every interval [−a, a].

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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