Question

Determine whether the data in the diagram is a function, and state the domain and range.



(1 point)
Responses

Yes, it is a function. The domain is the set {5,6,7,8}. The range is the set {-1,2,3}
Yes, it is a function. The domain is the set {5,6,7,8}. The range is the set {-1,2,3}

Not, it is not a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}
Not, it is not a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}

Yes, it is a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}
Yes, it is a function. The domain is the set {-1,2,3}. The range is the set {5,6,7,8}

Not, it is not a function. The domain is the set {5,6,7,8}. The range is the set {-1,2,3}
Not, it is not a function. The domain is the set {5,6,7,8}. The range is the set {-1,2,3}
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Answer 1

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 “Yes, it is a function.” 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 “Not, it is not a function.”, 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.