Please answer the question and provide proper explanation. Please make sure that the answer is visible and easy to see.

2) Consider the function: x>0 f (x ) = 14-x2 x50 and the domains (a) [1, 4] (b) [-1, 1] (c) (-2, -1) (d) [-4, 0) (e) (-1, 1) For each domain, explain whether the Extreme Value Theorem guarantees that f (x) will have a global maximum on that domain. Then, using a graph or any other method, determine the domains for which f (x) actually has a global maximum