6. The Extreme Value Theorem states that every continuous function on a closed interval has both an absolute maximum and an absolute minimum. In this problem, we investigate why the two words "continuous" and "closed" are needed in the statement of the theorem. (a) In each part below, you are given a function and its graph. Briefly explain why it is not continuous on the given closed interval. Also, explain why it does not have both an absolute maximum and an absolute minimum. 5 y - f(x) 4 3 i. f (a) = c+1 1