Let I := [a. b 1 and let I : I ~ lR be a continuous function on I such that for each x

Chapter 5, Problem 3

(choose chapter or problem)

Let I := [a. b 1 and let I : I ~ lR be a continuous function on I such that for each x in I there exists y in I such that I I (y) I ~ 41 I (x) 1. Prove there exists a point c in I such that f (c) = 0.

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