To determine whether the data in the diagram is a function, we check if each input (domain) is associated with exactly one output (range). If any input corresponds to multiple outputs, it is not a function.
Since I do not have access to the image you mentioned, I cannot analyze it directly. However, here’s how you can determine if it is a function:
- Check if any x-value (domain) has more than one associated y-value (range).
- If it does, it is not a function. If every x-value matches with only one y-value, then it is a function.
Assuming you find that it is not a function, you would list the domain and range according to the points presented in the diagram. Conversely, if you determine it is a function, you would identify those unique x-values as the domain and the corresponding unique y-values as the range.
Based on your options, if your findings conclude that it is not a function:
- Your response would be: "No, it is not a function. The domain is the set {−1, 3, 2}. The range is the set {8, 7, 6, 5}." (as long as those are indeed the correct domains and ranges from your diagram).
If it is a function, choose the appropriate response stating that it is a function along with the respective domain and range.
Please check the diagram for connections between inputs and outputs to finalize your answer.