(3) A function f: (a, b) → R is convex if f(x + (1 - A)y) ≤ \ƒ(x) + (1 − x)f(y) (Vx, y ≤ (a, b), VA € (0,1)) Provide an

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3 A Function F A B R Is Convex If F X 1 A Y F X 1 X F Y Vx Y A B Va 0 1 Provide An 1 (22.71 KiB) Viewed 10 times

(3) A function f: (a, b) → R is convex if f(x + (1 - A)y) ≤ \ƒ(x) + (1 − x)f(y) (Vx, y ≤ (a, b), VA € (0,1)) Provide an example of a convex function on R that is not of the form f(x) = rx+s for real numbers r and s. Also, prove that any nondecreasing convex function on any open interval (a, b) is continuous.