Let $X = {1, 2, 3, 4}$ . Examine whether the relation given below is a function from $X$ to $X$ or not. Explain.
$f = {(2, 3), (1, 4), (2, 1), (3, 2), (4, 4)}$

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Solution

Given, $X = {1, 2, 3, 4}$ , $f = {(2, 3), (1, 4), (2, 1), (3, 2), (4, 4)}$
Thus, $f$ is not a function because $2$ has two images $3$ and $1$ .

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