Call a real-valued function f very convex if
\frac {f(x) \plus{} f(y)}{2} \ge f\left(\frac {x \plus{} y}{2}\right) \plus{} |x \minus{} y|
holds for all real numbers x and y. Prove that no very convex function exists. functionUSA(J)MOUSAMOinductionalgebra