A function: ER is called Lipschitz (or more precisely M-Lipschitz) if there exists an M>0 such that for all z, y E f(x)-(y)|M|x-y. 1. Show that any Lipschitz function is uniformly continuous. 2. Show that if f: (a,b)R is a differentiable function such that f(t)| M for all t (a,b), then f is M-Lipschitz.