How do you find the domain and the range of the relation, and state whether or not the relation is a function {(-3,2), (0,3), (1, 4), (1, -6), (6, 4)}?

1 Answer
iceman
Feb 27, 2016

the domain is: #{-3, 0, 1, 6}#
the range is:#{2, 3, 4, -6, 4}#
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Explanation:

In the relation:
#{(-3, 2), (0, 3), (1, 4), (1, -6), (6, 4)}#:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
#{-3, 0, 1, 6}#
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
#{2, 3, 4, -6, 4}#
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

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