(i) For every element x in A, there is an element y in B such that (x, y)
F. (ii) For all elements x in A, and y and z in B, if (x, y)
F and (x, z)F, then y = z.6. Recall that a function F from a set A to a set B
is a relation from A to B that satisfies the following two properties:
(i) For every element x in A, there is an element y in B such that (x, y) F.
(ii) For all elements x in A, and y and z in B, if (x, y)F and (x, z)F, then y = z.
The relation R = { (3,2), (6,2), (9,6), (6,8) } is not a function from A to B, since the element 6 has two different images. The relation R satisfies property i) above but not property ii).