Which of the following statements best describes the Intermediate Value Theorem?
A) If a function is continuous on a closed interval [a, b], then it takes on every value between f(a) and f(b).
B) If a function is differentiable on a closed interval [a, b], then it has a critical point in that interval.
C) If a function is continuous on an open interval (a, b), then it has a maximum and minimum value in that interval.
D) If a function is monotonic on a closed interval [a, b], then it has a maximum and minimum value in that interval.