Question: Problem 43. Let f: (a,b) R be a continuous function such that f (%) 2 w for all x,y (a,b). Prove that f is convex.

Problem 43. Let f: (a,b) R be a continuous function suchthat f (%) 2 w for all x,y (a,b). Prove that f

Problem 43. Let f: (a,b) R be a continuous function such that f (%) 2 w for all x,y (a,b). Prove that f is convex. Toprove that f, is convert, we need to show that for any x,y inca, b) and for any + in [, 1] the inequality f Etx + (-t ly )

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