If anyone can help get me started on these two problems, I'd be greatful =)

1. Verify that the function satisfies the hypothesis of the Mean Value Theorem on the given interval. Then find all the numbers c that satisfy the conclusion of the given interval

f(x) = x/(x+2) on [1,4]

2. If f'(x) is greater than or equal to M on [a,b], show that f(b) is greater than or equal to f(a) + M(b-a)

I am having a hard time wrapping my head around these two, so if someone could help explain how to go about looking at problems of these sorts... that'd be nice

Thanks guys!