1. **State the problem:** Determine if the relation \{(-8, -1), (-7, -7), (-5, 9), (9, -8)\} represents a function. Also, find the domain and range of the relation. 2. **Definition of a function:** A relation is a function if every input (x-value) corresponds to exactly one output (y-value). This means no x-value repeats with different y-values. 3. **Check if the relation is a function:** The x-values (domain candidates) are -8, -7, -5, and 9. Each x-value appears only once, so each input has exactly one output. 4. **Conclusion on function:** Since no x-value repeats with different y-values, the relation **does represent a function**. 5. **Find the domain:** The domain is the set of all x-values: $$\{-8, -7, -5, 9\}$$ 6. **Find the range:** The range is the set of all y-values: $$\{-1, -7, 9, -8\}$$ **Final answers:** - The relation **is a function**. - Domain: $$\{-8, -7, -5, 9\}$$ - Range: $$\{-1, -7, 9, -8\}$$