Could someone give me some help with the following question? I'm not sure how to tackle this question because it involves a piecewise function. Any help is appreciated!
Consider the function f: [-1,1] defined by
(a) Establish whether f satisfies the hypotheses of the Mean Value Theorem on the given interval
(b) Regardless of the answer to part (a) show that f satisfies the conclusion of the Mean Value Theorem with c=0. Be aware that this doesn't tell us anything about part (a)!