Step-by-step explanation:
As we know that
- The domain of a relation is defined as the set of all possible independent values the relation can really take - basically the group of all possible inputs.
- The range of a relation is defined as the set of all possible dependent values the relation can generate from the domain values - basically the group of all possible outputs.
For example, considering the set of ordered pairs
[tex]\left(-3,\:0\right),\:\left(0,\:6\right),\:\left(3,\:12\right),\:\left(6,\:18\right)[/tex]
As
- The domain is the set of independent values, meaning the set of x-coordinates of the ordered pairs as x is an independent variable.
- The range is set of dependent values, meaning the set of y-coordinates of the ordered pairs as y is an independent variable.
So, in the set of ordered pairs of a relation
[tex]\left(-3,\:0\right),\:\left(0,\:6\right),\:\left(3,\:12\right),\:\left(6,\:18\right)[/tex]
[tex]Domain:\:\left\{-3,\:0,\:3,\:6\right\}[/tex]
[tex]Range:\:\left\{0,\:6,\:12,\:18\right\}[/tex]
Keywords: ordered pairs, domain, range, relation
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