Proof Prove that if is differentiable on and for all real numbers, then has at most one

Chapter 4, Problem 89

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Proof Prove that if f is differentiable on \((-\infty, \infty)\) and f’(x) < 1 for all real numbers, then f has at most one fixed point. A fixed point of a function f is a real number c such that f(c) = c.

Text Transcription:

(-infinity, infinity)

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