Question

Let A = {1, 2, 3}, B = {p, q} and f = {(1, p), (1,q), (2, p), (3,q)}. Is f a function from A to B?
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Answer 1

Answer:

No, f is not a function from A to B.

Explanation:

Given, A = {1,2,3}, B = {p,q} and f = {(1,p),(1,q),(2,p),(3,q)}.

Since, in the given relation f, an element of set A (i.e., 1) has two different images in set B (i.e., p and q) and therefore, the relation f from A to B is no a function.

Note: For a relation R from A to B to be a function, every element of set A must have one and only one image in set B.