1. The problem asks us to determine if the given mapping from Set A to Set B represents a function. 2. A function is defined as a relation where each input (element in Set A) maps to exactly one output (element in Set B). 3. From the mapping: - 3 maps to 4 - -4 maps to 2 - 7 maps to both 8 and 3 4. Since 7 maps to two different outputs (8 and 3), this violates the definition of a function. 5. Therefore, the mapping does not represent a function because one input has multiple outputs. Final answer: The mapping diagram above does not represent a function since the input 7 maps to more than one output.