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 8 and also to 3 4. Notice that the element 7 in Set A maps to two different elements in Set B (8 and 3). 5. This violates the definition of a function because one input cannot have multiple outputs. 6. Therefore, the mapping does not represent a function. Final answer: The mapping diagram above does not represent a function since the input 7 maps to more than one output.