1. The problem asks us to determine if the given mapping from inputs to outputs is a function and if it is invertible. 2. A function is a relation where each input corresponds to exactly one output. 3. From the mapping: - 7 maps to 1 - 6 maps to 7 - 3 maps to 3 - 9 maps to 3 4. Notice that both inputs 3 and 9 map to the same output 3. 5. This means each input has exactly one output, so it is a function. 6. To check if the function is invertible, each output must come from exactly one input (the function must be one-to-one). 7. Since output 3 corresponds to two inputs (3 and 9), the function is not one-to-one and therefore not invertible. 8. Filling in the sentence: "The mapping does represent a function because each input has exactly one output. However, it is not invertible because the output 3 has more than one input."