Question

what are the domain and range of this relation?
(10, 9)
(-2, -5)
(7, 10)
(3, 0)
domain: {-2, 3, 7, 10}
range: {-5, 9, 10}
domain: {2, 3, 7, 10}
range: {-5, 9, 10}
domain: {-2, 3, 7, 10}
range: {-5, 0, 9, 10}
domain: {2, 3, 7, 10}
range: {-5, 0, 9, 10}

Explanation:

Step1: Recall domain and range definitions

The domain of a relation is the set of all first elements (x - values) of the ordered pairs. The range is the set of all second elements (y - values) of the ordered pairs.

Step2: Identify domain values

Given the ordered pairs \((10, 9)\), \((-2, -5)\), \((7, 10)\), \((3, 0)\), the first elements (x - values) are \(10\), \(-2\), \(7\), \(3\). So the domain is \(\{-2, 3, 7, 10\}\).

Step3: Identify range values

The second elements (y - values) of the ordered pairs are \(9\), \(-5\), \(10\), \(0\). So the range is \(\{-5, 0, 9, 10\}\).

Answer:

domain: \(\{-2, 3, 7, 10\}\)
range: \(\{-5, 0, 9, 10\}\) (corresponding to the third option among the four given boxes)