(2) For each part, nd a function f : [0, 1] > [0,1] with the requested property. (Note that continuity of f is not always required, and in fact may be impossible in some cases.) You should describe each of your functions f visually by sketching its graph. (a) f is decreasing, onetoone, and onto. (b) f is increasing (nondecreasing), onto, but not onetoone. (c) f is continuous on (0,1) but not continous on [0,1]. (d) f is continuous and f'1([1/2, 1]) = (b. (e) f such that f ([0, 1]) is open. (f) f such that f ([0, 1]) is disconnected (i.e., is not a conneted set). (f) f is continuous and f _1([%, 1]) is disconnected. (g) f such that f'1({%}) is nonempty and Open. (h) f is continous at all point of [0,1] except for %. (i) f so that f'1({%}) is countably innite