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Question
Write the following relations as sets of ordered pairs and find which of them are functions:
(a) {(x, y) : y = 3x, x ∈ {1, 2, 3}, y ∈ [3,6, 9, 12]}
Solution
(a) Given:
{(x, y) : y = 3x, x ∈ {1, 2, 3}, y ∈ [3,6, 9, 12]}
On substituting x = 1, 2, 3 in x, we get :
y = 3, 6, 9, respectively.
∴ R = {(1, 3) , (2, 6), (3, 9)}
Hence, we observe that each element of the given set has appeared as the first component in one and only one ordered pair in R . So, R is a function in the given set.
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