Question

Which sets of values belong to the domain and range of a relation?

Answer 1

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

$\left(-3,\:0\right),\:\left(0,\:6\right),\:\left(3,\:12\right),\:\left(6,\:18\right)$

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

$\left(-3,\:0\right),\:\left(0,\:6\right),\:\left(3,\:12\right),\:\left(6,\:18\right)$

$Domain:\:\left\{-3,\:0,\:3,\:6\right\}$

$Range:\:\left\{0,\:6,\:12,\:18\right\}$

Keywords: ordered pairs, domain, range, relation

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