1) (18 points) Sketch a possible graph of a function satisfying all of the following properties: . f is an even function with domain [-6, 6]. f has intervals of continuity: [-6, -5], (-5, -2), [-2, 0) , (0, 2]. (2, 5), and [5, 6]. . f(0) = 2, f(2) = 0, and f(6) = 5 . lim f(x) = 4 and lim f(x) = 0 . lim f(x) = 0 and lim f(x) = -3 * + 2 - * + 2+ . lim f(x) = -2 and lim f(x) = 1 x -+ 5 . f(x) > 0 for x in (0, 2) U [5, 6] and f(x)