Suppose a function f is twice differentiable on [(1.5] and m 11' f(1:} Suppose a function f is twice differentiable on [a, b] and m

Suppose a function f is twice differentiable on [(1.5] and m 11' f"(1:} <_1 m for all :r. e b show that hi ha f a gt: t1>

Suppose a function f is twice differentiable on [a, b] and m f" (x) M for all [a, b]. Show that f (x) f(a) + a) + = + -y(x a)2.