Determine whether relation is function.

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Solution

We know a relation is a function only if it relates each element in its domain (input) to only one element in the codomain (output).
So from the above diagram, we can see a well-defined many-to-one mapping from the domain ${- 3, - 2, - 1, 0}$ onto the codomain ${7, 14}$ .
Hence, the ordered pairs are $(- 3, 7), (- 2, 7), (- 1, 14), (0, 14)$ .
Here, each input has exactly one output. Then relation is a function.

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