What is the domain of the function f ?
a) I already said why this is true.
b) f(-2) does equal f(0).
c) f(x) is, in fact, not differentiable at x = -1 because the function does not exist there.
As both a) and c) are true, and Rolle's theorem depends on them being true (and f(-2) = f(0) to boot) the answer should be d).