Problem 1 Give an example of a function and an interval for which there is no absolute maximum or minimum. Problem 2 Suppose you are told = (a: 1)(a: 2)(a: 3) m") (a: 4)(:c 5) Find the critical points of f(a:). Problem 3 Let 1 f(93)=$2+w2 find the critical points of at). Problem 4 Let :33 $2 f(:c) _ ? 7?+10:c+1. This polynomial function is continuous on the closed interval I = [3, 3]. By the extreme value theorem it will have an absolute maximum and an absolute minimum. Find them. {T he answers will be the corresponding y values, but these are found by considering the possible 3 values where these can occur.)