How do you find the domain and the range of the relation, and state whether or not the relation is a function {(–2, 4), (5, 8), (3, 6), (5, 9)}?

1 Answer
Nov 20, 2015

Answer:

See explanation.

Explanation:

If the relation is given as set of pairs, then:

Domain is the set of all first elements of pairs. In this case it is:

#D={-2;3;5}#

Range is the set of all second numbers. In this case:

#R={4;6;8;9}#

To check if this relation is a function you need to check the following condition:

"For every element #x# in the domain, there exists one and only one element #y# in range that #f(x)=y#"

This relation is not a function because this condition is not met. Element #x=5# has two corresponding values (#8# and #9#)