To determine if the data in the diagram is a function, we need to check if each input (from the domain) corresponds to exactly one output (from the range).
From the responses you've provided, it seems like there are conflicting answers regarding whether the set is a function and what the corresponding domain and range are.
If the inputs (domain) are {-1, 3, 2} and there are multiple outputs for any of these inputs, then it is not a function. Conversely, if each of the inputs corresponds to a single output, then it is a function.
For the outputs (range) to be presented as {8, 7, 6, 5}, these would be values that are linked to the inputs from the domain.
So, without the specific diagram, I can't definitively say which option is correct. However:
- If you verify whether any x-value (input) in your domain maps to more than one y-value (output) in your range, then you can determine if it's a function.
- If all x-values relate to only one y-value, it is a function.
As it is, the response that states "Yes, it is a function. The domain is the set {-1, 3, 2}. The range is the set {8, 7, 6, 5}" could be correct if each input corresponds to one unique output, making it a function. If not, then the others that assert it is not a function should be considered.
Please analyze the diagram based on these principles to choose the correct response.