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
Nov 7, 2015

Answer:

Domain: #{5,3,-5,-4}#
Range: #(-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)}#

has as its Domain the collection of values corresponding to #x#
and as its Range the collection of values corresponding to #y#

The relationship is a function if no value of #x# is paired with more than one value of #y#