1. **State the problem:** Determine whether each given mapping diagram represents a function. 2. **Recall the definition of a function:** A function is a relation where each input (domain element) maps to exactly one output (range element). 3. **Analyze diagram (i):** - Inputs: a, b, c - Outputs: d, e - Mappings: a \to d, b \to e, c \to e Each input maps to exactly one output. 4. **Conclusion for (i):** This is a function because no input has more than one output. 5. **Analyze diagram (ii):** - Inputs: a, b, c - Outputs: d, e - Mappings: a \to d, b \to d, b \to e, c \to e Input \textit{b} maps to two outputs (d and e). 6. **Conclusion for (ii):** This is not a function because input \textit{b} has multiple outputs. **Final answers:** (i) Function. (ii) Not a function, because \textit{b} maps to two outputs.