1. **State the problem:** Determine if the relation given by the arrow diagram is a function. 2. **Recall the definition of a function:** A relation is a function if every input (domain element) maps to exactly one output (range element). 3. **Analyze the given relation:** The domain elements are $\{0, 2, 5, 9\}$ and the range elements are $\{-1, 5, 14, 27\}$. 4. **Check the mappings:** - $0 \to -1$ - $2 \to 5$ - $5 \to -1$ - $9 \to 27$ 5. **Important rule:** Each input must have only one arrow going out. Here, each domain element has exactly one arrow. 6. **Note:** Even though both $0$ and $5$ map to $-1$, this is allowed in a function because different inputs can have the same output. 7. **Conclusion:** Since each input has exactly one output, the relation is a function. **Final answer:** Yes, the relation is a function because each input corresponds to exactly one output.