Question

give the domain and range of the relation. {(3,3), (-1, -1), (-6, -6), (6,6)} a. the domain is {3, 6}. the range is {-6, -1}. b. the domain is {-6, -1, 3, 6}. the range is {-6, -1, 3, 6}. c. the domain is {-6, -1}. the range is {3, 6}. d. the domain is {-6, 6}. the range is {-1, 3}.

Explanation:

Step1: Recall domain and range definitions

The domain of a relation (set of 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 domain elements

For the relation \(\{(3,3), (- 1,-1), (-6,-6), (6,6)\}\), the first elements (x - values) are \(3\), \(-1\), \(-6\), and \(6\). So the domain is \(\{-6, - 1,3,6\}\).

Step3: Identify range elements

The second elements (y - values) are \(3\), \(-1\), \(-6\), and \(6\). So the range is \(\{-6, - 1,3,6\}\).

Answer:

B. The domain is \(\{-6, - 1, 3, 6\}\). The range is \(\{-6, - 1, 3, 6\}\)