To determine whether the data in the diagram represents a function, we need to recall the definition of a function: a relation in which each input (domain) is associated with exactly one output (range).
Since I cannot see the diagram, I will explain how to identify whether the relation is a function and how to identify the domain and range:
1. **Check for Functionality**:
- For a set of ordered pairs (x, y), if any x-value corresponds to more than one y-value, then it is not a function.
2. **Identify the Domain**:
- The domain consists of all the x-values from the ordered pairs.
3. **Identify the Range**:
- The range consists of all the y-values from the ordered pairs.
Based on the responses provided, here are the interpretations:
1. If the responses indicate βYes, it is a function.β with the domain being {5, 6, 7, 8} and range being {-1, 2, 3}, it suggests that each element from the domain is paired with one element from the range, making it a function.
2. If the responses indicate βNot, it is not a function.β, it implies that for at least one x-value in the domain, there are multiple y-values, hence failing the criteria for a function.
3. The domain and range may also get switched incorrectly in terms of response context, which adds further confusion.
Without the visual information from the diagram, I cannot definitively determine whether or not it is a function. However, based on your responses:
- If you believe it is a function with domain {5, 6, 7, 8} and range {-1, 2, 3}, you would choose the first response.
- If you think it is not a function, then choose the corresponding option.
Please verify the relationships in the diagram to justify which response to select.