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 {−1,3,2} . The range is the set {8,7,6,5} . Yes, it is a function. The domain is the set left brace negative 1 comma 3 comma 2 right brace . The range is the set left brace 8 comma 7 comma 6 comma 5 right brace . No, it is not a function. The domain is the set {8,7,6,5} . The range is the set {−1,3,2} . No, it is not a function. The domain is the set left brace 8 comma 7 comma 6 comma 5 right brace . The range is the set left brace negative 1 comma 3 comma 2 right brace . No, it is not a function. The domain is the set {−1,3,2} . The range is the set {8,7,6,5} . No, it is not a function. The domain is the set left brace negative 1 comma 3 comma 2 right brace . The range is the set left brace 8 comma 7 comma 6 comma 5 right brace . Yes, it is a function. The domain is the set {8,7,6,5} . The range is the set {−1,3,2} .

Answer 1

To determine if the data represents a function, we should check if each input (x-value) corresponds to exactly one output (y-value).

In a function, no two different input values can map to the same output value. If even one input value maps to multiple output values, then the relationship is not a function.

You mentioned domains and ranges but did not provide an actual diagram or specific input-output pairs, making it impossible to definitively state whether the data is a function or not.

However, based on the options provided, here is how you could analyze them:

1. If the domain (the set of x-values) is {−1, 3, 2} and all these values map to unique y-values (like 8, 7, 6, 5), then it is a function, and you would state the domain and range accordingly.

2. If one of the inputs in the domain maps to two different outputs in the range (e.g., −1 maps to both 8 and 7), then it is not a function.

Given the responses and without specific data or mappings:

- **Yes, it is a function. The domain is the set {−1, 3, 2}. The range is the set {8, 7, 6, 5}.**: This option would be valid if each input (−1, 3, 2) has a unique output.

- **No, it is not a function. The domain is the set {−1, 3, 2}. The range is the set {8, 7, 6, 5}.**: This option would only be valid if one of the inputs (−1, 3, or 2) had multiple outputs.

To summarize, without additional details on the diagram, the best approach is to check if inputs correspond to unique outputs to determine if it's a function and identify the domain and range accurately.