1. **State the problem:** Determine if the given mapping from Set A to Set B represents a function. 2. **Recall the definition of a function:** A function is a relation where each element in the domain (Set A) maps to exactly one element in the codomain (Set B). 3. **Analyze the mapping:** - -1 maps to 3 (one output) - 4 maps to -3 (one output) - -2 maps to 8 and 5 (two outputs) 4. **Check if the mapping satisfies the function rule:** Since -2 maps to two different elements (8 and 5), this violates the rule that each input must have exactly one output. 5. **Conclusion:** The mapping diagram above is **not** a function since there is an element in the domain (-2) that maps to more than one element in the codomain. **Final answer:** The mapping is not a function because -2 maps to both 8 and 5, violating the definition of a function.