How do you find the domain and the range of the relation, and state whether or not the relation is a function {(5, –4), (3, –4), (–5, 3), (–4, 5)}?

1 Answer
Alan P.
Nov 7, 2015

Domain: {5,3,-5,-4}{5,3,−5,−4}
Range: (-4,3, 5}(−4,3,5}
The relation is a function since each element of the domain maps into only one element of the range.

Explanation:

A relationship defined by a set of pairs such as
color(white)("XXX")(x,y) in {(5,-4), (3,-4), (-5,3), (-4,5)}XXX(x,y)∈{(5,−4),(3,−4),(−5,3),(−4,5)}

has as its Domain the collection of values corresponding to xx
and as its Range the collection of values corresponding to yy

The relationship is a function if no value of xx is paired with more than one value of yy

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