The Intermediate Value Theorem states that if a function f(x) is continuous on the closed interval [a, b] and k is any value between f(a) and f(b), then

Core Concept

The Intermediate Value Theorem states that if a function f(x) is continuous on the closed interval [a, b] and k is any value between f(a) and f(b), then there exists a value c in (a, b) such that f(c) = k. Options B and C are incorrect since they do not accurately describe the theorem. Option D is incorrect since it references the value a, not k.