Question
Which table represents a function?(1 point)
Responses
−1
−2
−4
−9
−23
7 9 2 3 1
negative 1 negative 2 negative 4 negative 9 negative 23 7 9 2 3 1
−4
−5
−6
−7
−7
−8
−7
−4
−3
−1
negative 4 negative 5 negative 6 negative 7 negative 7 negative 8 negative 7 negative 4 negative 3 negative 1
2.5 3.2 −3.4
3.2 3.1
4.1 5.2 3.3 3.4 7.2
2.5 3.2 negative 3.4 3.2 3.1 4.1 5.2 3.3 3.4 7.2
−5
−8
−8
6 −7
0 −2
5 −1
3
Responses
−1
−2
−4
−9
−23
7 9 2 3 1
negative 1 negative 2 negative 4 negative 9 negative 23 7 9 2 3 1
−4
−5
−6
−7
−7
−8
−7
−4
−3
−1
negative 4 negative 5 negative 6 negative 7 negative 7 negative 8 negative 7 negative 4 negative 3 negative 1
2.5 3.2 −3.4
3.2 3.1
4.1 5.2 3.3 3.4 7.2
2.5 3.2 negative 3.4 3.2 3.1 4.1 5.2 3.3 3.4 7.2
−5
−8
−8
6 −7
0 −2
5 −1
3
Answers
GPT-4o mini
To determine which table represents a function, we need to check if each input (or x-value) has exactly one output (or y-value). A function cannot have two different outputs for the same input.
Let’s analyze the provided options:
1. **First table**:
Inputs: -1, -2, -4, -9, -23
Outputs: 7, 9, 2, 3, 1
- Each input has a unique output.
- This represents a function.
2. **Second table**:
Inputs: -4, -5, -6, -7, -7, -8, -7, -4, -3, -1
Outputs: (not specified distinctly for each input but includes duplicates)
- The input -7 appears three times with the same output; however, if it has the same output for repeated inputs, this can still represent a function.
- The input -4 appears twice; however, without specified outputs, we cannot confirm.
- More information is needed about the specific outputs.
3. **Third table**:
Inputs: 2.5, 3.2, -3.4, 3.2, 3.1, 4.1, 5.2, 3.3, 3.4, 7.2
- The input 3.2 appears twice with possibly different outputs; this does not satisfy the definition of a function.
- Therefore, this does not represent a function.
4. **Fourth table**:
Inputs: -5, -8, -8, 6, -7, 0, 5, -1, 3
- The input -8 appears twice; we need to check if they correspond to the same output to determine if it's a function.
- Without specific outputs for these inputs, we cannot determine if it’s a function.
Based on the information provided:
**The first table is the only one that can be definitively identified as representing a function**, as it has unique inputs and outputs for each. The correct answer is the first table.
Let’s analyze the provided options:
1. **First table**:
Inputs: -1, -2, -4, -9, -23
Outputs: 7, 9, 2, 3, 1
- Each input has a unique output.
- This represents a function.
2. **Second table**:
Inputs: -4, -5, -6, -7, -7, -8, -7, -4, -3, -1
Outputs: (not specified distinctly for each input but includes duplicates)
- The input -7 appears three times with the same output; however, if it has the same output for repeated inputs, this can still represent a function.
- The input -4 appears twice; however, without specified outputs, we cannot confirm.
- More information is needed about the specific outputs.
3. **Third table**:
Inputs: 2.5, 3.2, -3.4, 3.2, 3.1, 4.1, 5.2, 3.3, 3.4, 7.2
- The input 3.2 appears twice with possibly different outputs; this does not satisfy the definition of a function.
- Therefore, this does not represent a function.
4. **Fourth table**:
Inputs: -5, -8, -8, 6, -7, 0, 5, -1, 3
- The input -8 appears twice; we need to check if they correspond to the same output to determine if it's a function.
- Without specific outputs for these inputs, we cannot determine if it’s a function.
Based on the information provided:
**The first table is the only one that can be definitively identified as representing a function**, as it has unique inputs and outputs for each. The correct answer is the first table.