How do you find the domain and the range of the relation, and state whether or not the relation is a function (2,1) (3,1) (3,2) (4,1) (4,2) (4,3)?

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Answer 1 · 2016-06-05T22:29:39

Domain: ${2, 3, 4}$ .
Range: ${1, 2, 3}$ .
Not a function.

Given:

$(2, 1)$ , $(3, 1)$ , $(3, 2)$ , $(4, 1)$ , $(4, 2)$ , $(4, 3)$

The domain is the set of first elements of each pair, namely:

${2, 3, 4}$

The range is the set of second elements of each pair, namely:

${1, 2, 3}$

This relation is not a function.

For example, the pairs $(3, 1)$ and $(3, 2)$ define conflicting values for $f(3)$ .