Let f : |0, 1 R be a continuous function that does not take on any

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Let f : |0, 1 → R be a continuous function that does not take on any of its values twice and with f(0) < f(1). Show that f is strictly increasing on [0, 1].

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:02 AM

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Let f : |0, 1 R be a continuous function that does not take on any

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Let a 0 1 be arbitrary If fa f0 then there exists a a 1 with fa f...View the full answer

Introduction to Real Analysis

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