1. **State the problem:** We are given a relation shown in a table with inputs and outputs: | Input | Output | |-------|--------| | 1 | 2 | | 11 | 32 | | 15 | 2 | | 16 | 32 | We need to represent this relation with an arrow diagram and determine if it is a function. 2. **Recall the definition of a function:** A relation is a function if every input is assigned to exactly one output. 3. **Analyze the given relation:** - Input 1 maps to output 2. - Input 11 maps to output 32. - Input 15 maps to output 2. - Input 16 maps to output 32. Each input has exactly one output, even though some outputs repeat for different inputs. 4. **Conclusion:** Since no input maps to more than one output, this relation **is a function**. 5. **Arrow diagram description:** - Draw two ellipses: one for inputs {1, 11, 15, 16} and one for outputs {2, 32}. - Draw arrows from each input to its corresponding output: - 1 \rightarrow 2 - 11 \rightarrow 32 - 15 \rightarrow 2 - 16 \rightarrow 32 This visually confirms each input has a single output. **Final answer:** The relation is a function because each input corresponds to exactly one output.