b) Given A = {x|x eZ, x4 - 5x2 + 4 = 0), B = {x I x is a side of a coin), and C = {x 1 x is a vertex of a rectangle} (i) How many 1-1 functions are there from A to B, and from B to C? (ii) How many onto functions are there from A to B? (iii) How many bijective functions are there amongst these 3 sets? c) Determine whether or not each of the following relations are functions. If a relation is a function, find its range. If it is not a function, give reasons. Find the inverse function if it has one, ELSE give the preimage. (i) f = {(x, y) |x (-1, 1), y [0,.1), x2 + y2 = 1} (ii) g: RR g(x) { vinnig XS-1AX 1 -1 0 X