Violation of the Intermediate Value Theorem? Let f 1x2 = _

Chapter 2, Problem 104

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Violation of the Intermediate Value Theorem? Let f 1x2 = _ x _ x . Then f 1-22 = -1 and f 122 = 1. Therefore, f 1-22 6 0 6 f 122, but there is no value of c between -2 and 2 for which f 1c2 = 0. Does this fact violate the Intermediate Value Theorem? Explain.

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