Questions: What are the domain and range of this relation? (-6,9) (-9,-8) (-9,-7) (-1,10) (-1,7) domain: -9,-7,-6,-1 domain: -9,-6,-1 range: -8,-7,7,9,10 range: -8,7,9,10

Solution Steps

The domain of a relation is the set of all first elements (x-values) in the ordered pairs. From the given relation: \[ \begin{array}{l} (-6,9) \\ (-9,-8) \\ (-9,-7) \\ (-1,10) \\ (-1,7) \end{array} \] The x-values are: \(-6, -9, -9, -1, -1\). Removing duplicates, the domain is: \[ \{-9, -6, -1\} \]

The range of a relation is the set of all second elements (y-values) in the ordered pairs. From the given relation, the y-values are: \(9, -8, -7, 10, 7\). Removing duplicates, the range is: \[ \{-8, -7, 7, 9, 10\} \]

The correct domain is \(\{-9, -6, -1\}\), and the correct range is \(\{-8, -7, 7, 9, 10\}\).

Final Answer