Question
8 maps to 2
7 maps to 3
6 maps to 2
5 maps to 2
Nothing maps to -1
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, 7,0, 5).
O No, it is not a function. The domain is the set {8, 7,6, The 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,The range is the set {-1,3, 2).
7 maps to 3
6 maps to 2
5 maps to 2
Nothing maps to -1
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, 7,0, 5).
O No, it is not a function. The domain is the set {8, 7,6, The 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,The range is the set {-1,3, 2).
Answers
GPT-4o mini
To determine if the given data is a function, we need to check if every element in the domain maps to exactly one element in the range.
Here are the mappings based on the provided data:
- 8 maps to 2
- 7 maps to 3
- 6 maps to 2
- 5 maps to 2
In this case:
- The value 2 is mapped to by both 8, 6, and 5, which is acceptable for a function because a single output (in this case, 2) can be associated with multiple inputs (in this case, 8, 6, and 5).
- The value 3 is mapped to by 7, which is unique and also acceptable.
- There is no input that maps to -1.
Since every element of the domain (8, 7, 6, and 5) has a unique output in the range, the system meets the definition of a function.
Now, we can define the domain and range:
- **Domain**: The set of all inputs, which is {8, 7, 6, 5}.
- **Range**: The set of all outputs, which is {2, 3}.
Given these considerations, the correct option is:
**O Yes, it is a function. The domain is the set {8, 7, 6, 5}. The range is the set {2, 3}.**
However, since that choice does not appear amongst your options, it may be necessary to prioritize identifying the correct domain and range over matching the available options exactly. Given that's not an option, please verify the exact wording or clarity of the provided choices to see if there might be an option that closely aligns with what I elaborated on.
Here are the mappings based on the provided data:
- 8 maps to 2
- 7 maps to 3
- 6 maps to 2
- 5 maps to 2
In this case:
- The value 2 is mapped to by both 8, 6, and 5, which is acceptable for a function because a single output (in this case, 2) can be associated with multiple inputs (in this case, 8, 6, and 5).
- The value 3 is mapped to by 7, which is unique and also acceptable.
- There is no input that maps to -1.
Since every element of the domain (8, 7, 6, and 5) has a unique output in the range, the system meets the definition of a function.
Now, we can define the domain and range:
- **Domain**: The set of all inputs, which is {8, 7, 6, 5}.
- **Range**: The set of all outputs, which is {2, 3}.
Given these considerations, the correct option is:
**O Yes, it is a function. The domain is the set {8, 7, 6, 5}. The range is the set {2, 3}.**
However, since that choice does not appear amongst your options, it may be necessary to prioritize identifying the correct domain and range over matching the available options exactly. Given that's not an option, please verify the exact wording or clarity of the provided choices to see if there might be an option that closely aligns with what I elaborated on.