Please help with this question.

(a) Any critical point of a function f is either a local maximum or local minimum for f . (c) Any function f dened on a closed interval [a, b] is guaranteed to have a global maximum, and this maximum must occur either at a critical point of f in the open interval (a, b) or at one of the endpoints a or b. (d) Any local minimum or local maximum of a function f must occur at a critical point of f. O False O True (e) Every function f defined on (-co, co) that satisfies the condition that lim f(x) = lim f(x) = co must have at least x -+ 0o -00 one critical point. O True O False (f) The function f(x) = Vx is differentiable at x = 0. O True O False (g) The function f(x) = [x| is not continuous at x = 0. O True False