The Max- Min theorem states that: 1) If f has neither an absolute Max nor an absolute Min on [a, b], then f is not continuous on [a,b] 2) fis continuous on [a, b], iff f has an absolute Max and an absolute Min. on [a,b] 3) Either f is continuous on [a, b], or f has an absolute Max on [a,b]. 4) If f has an absolute Min on [a, b], then f is continuous on [a,b]