Please explain and prove why each of the following options are true. with examples. (for example, why could f be increasing, why could it be decreasing, etc).

Let f be a continuous functin on the closed interval (0, 3), and let c be a point on (0, 3) such that f (c) = 2 is a maximum value of f on 10, 3)." ) f is increasing on [0, 3] ) f is decreasing on [0, 3] If ( 2) = (3-x) - - So f (ac) dae = 5