1. Let f(x) = V(x - 1)2 with domain [a, b], where a = -1 and b = 3. (a) Is f(r) continuous on its domain (continuous at every point of its domain)? (b) Is f(x) differentiable at each point of its domain? If not, make a list of the points in (-a. b) where f(x) is not differentiable. (c) Find f(a) and f(b) (d) Is there a number c in (a, b) such that f'(c) = f (b) - f (a )? b - a (e) Which hypothesis of Rolle's theorem is not satisfied