Question

Determine whether the data in the diagram is a function, and state the domain and range.
(1 point)
O Yes, it is a function. The domain is the set {-1, 3, 2]. The range is the set {8, 7, 6, 5}.
O No, it is not a function. The domain is the set {8, 7, 6, 5]. The range is the set {-1, 3, 2}.
O No, it is not a function. The domain is the set {-1, 3, 2]. The range is the set {8, 7, 6, 5}.
O Yes, it is a function. The domain is the set {8, 7, 6, 5] The range is the set {-1, 3, 2}.

Answers

GPT-4o mini
To determine whether the data in the diagram represents a function, we need to know if each element in the domain maps to exactly one element in the range.

Since the diagram itself is not visible here, I will help you with the definition and how to analyze it:

1. **Function Definition**: A relation is a function if every element in the domain is associated with exactly one element in the range.

2. **Domain**: The set of all possible input values (the x-values).

3. **Range**: The set of all possible output values (the y-values).

Looking at the options provided:

1. **First Option**: "Yes, it is a function. The domain is the set {-1, 3, 2]. The range is the set {8, 7, 6, 5}."
2. **Second Option**: "No, it is not a function. The domain is the set {8, 7, 6, 5]. The range is the set {-1, 3, 2}."
3. **Third Option**: "No, it is not a function. The domain is the set {-1, 3, 2]. The range is the set {8, 7, 6, 5}."
4. **Fourth Option**: "Yes, it is a function. The domain is the set {8, 7, 6, 5]. The range is the set {-1, 3, 2}."

If all or any elements in the domain map to the same element in the range, it is a function. However, if any domain element is associated with more than one range element, it cannot be a function.

To select the correct answer accurately, you would need to verify the mappings of the specific pairs in your diagram.

Assuming you ascertain that the relationship meets the criteria to be a function, choose either option 1 or 4 based on the respective associations of domain and range.

If the criteria do not hold, choose option 2 or 3.

Please examine the actual data from the diagram to conclude correctly.

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