To determine whether the data in the diagram represents a function, you need to check if each input (from the domain) maps to exactly one output (in the range).
If any input corresponds to more than one output, then the data does not represent a function.
Based on the responses, the analysis can be structured as follows:
-
Identify Domain and Range:
-
The domain is the set of all possible inputs. If the data points given are -1, 3, and 2, then the domain is {-1, 3, 2}.
-
The range is the set of all possible outputs. If the data points given are 8, 7, 6, and 5, then the range is {8, 7, 6, 5}.
-
-
Check if it is a Function:
- If all the inputs (-1, 3, 2) map to distinct outputs (8, 7, 6, 5) without repeating any input for different outputs, then it is a function.
Without seeing the actual diagram, if we assume from the options presented that there isn’t any repetition of inputs mapping to multiple outputs, we conclude:
Answer: Yes, it is a function. The domain is the set {-1, 3, 2}. The range is the set {8, 7, 6, 5}.