Define a relation R from a b c to u v as follows R a v b u

Define a relation R from {a, b, c} to {u, v} as follows: R = {(a, v), (b, u), (b, v), (c, u)}. R is a function. True or False

Solution

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. In the given scenario, u & v are both related to b. Therefore it is not a function.