1. The problem asks whether the given mapping diagram represents a function. 2. A function from set A to set B assigns exactly one element in B to each element in A. 3. From the diagram, the elements in set A are $\{4, -2, 8\}$ and in set B are $\{3, 6, 7, 9\}$. 4. The mappings are: - $4 \to 3$ - $-2 \to 6$ - $8 \to 7$ 5. Each element in set A maps to exactly one element in set B. 6. The element $9$ in set B has no pre-image in set A, but this does not violate the definition of a function. 7. Therefore, the mapping diagram represents a function. Final answer: Yes, the mapping diagram represents a function.