Given A = {x | x2 < 16}, what is the Cartesian product A X A? Draw the graphs of the following relations on A X A and specify which of the relations are functions.

(a) {(x, y) | x + y = 3}

(d) {(x, y) \ y3 = 64 — x}

(b) } (x, y) | x2 + y2 = 4}

(e) {(*, y) | y > x + 3}.

(c) { (*, y) | z2 = 16 — y]