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Question
Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1,0), (3, 3), (2,−1), (4, 1), (2, 2)}
Solution
{(1, 0), (3, 3), (2, –1), (4, 1), (2, 2)} does not represent a function.
Reason:
(2, –1) and (2, 2) show that element 2 ∈ A has been assigned two images – 1 and 2 from set B.
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