Question

what are the domain and range of this function?
(-7, -7)
(9, 7)
(-10, -8)
(8, 5)
(5, -2)
(-2, 7)

domain: {-10, -2, 5, 7, 8, 9}
range: {-8, -7, -2, 5, 7}

domain: {-10, -7, -2, 5, 8, 9}
range: {-8, -7, -2, 5, 7}

domain: {-10, -7, -2, 5, 8, 9}
range: {-8, -7, -2, 5, 7, 8}

domain: {-10, -2, 5, 7, 8, 9}
range: {-8, -7, -2, 5, 7, 8}

Explanation:

Step1: Recall domain and range definitions

The domain of a function (given as ordered pairs) 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 x - values (domain)

The ordered pairs are \((-7, -7)\), \((9, 7)\), \((-10, -8)\), \((8, 5)\), \((5, -2)\), \((-2, 7)\). The x - values (first elements) are \(-7\), \(9\), \(-10\), \(8\), \(5\), \(-2\). So the domain is \(\{-10, -7, -2, 5, 8, 9\}\) (we list them in order and without repetition).

Step3: Identify y - values (range)

The y - values (second elements) are \(-7\), \(7\), \(-8\), \(5\), \(-2\), \(7\). Removing duplicates, the range is \(\{-8, -7, -2, 5, 7\}\) (we list them in order and without repetition).

Answer:

B. domain: \(\{-10, -7, -2, 5, 8, 9\}\)
range: \(\{-8, -7, -2, 5, 7\}\)