Question

Which table represents a function?(1 point)
Responses

−5
−8
−8
6 −7
0 −2
5 −1
3
negative 5 negative 8 negative 8 6 negative 7 0 negative 2 5 negative 1 3

−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

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

−4
−5
−6
−7
−7
−8
−7
−4
−3
−1

Answer 1

To determine which table represents a function, we need to check if each input (x value) corresponds to exactly one output (y value). In other words, for a relation to be considered a function, no x value should be mapped to more than one unique y value.

Let's analyze each option:

1. **First Option**:
- Values: (-5, -8), (6, -7), (0, -2), (5, -1), (3)
- Inputs are: -5, 6, 0, 5 (multiple outputs for these inputs)
- Output: -8, -7, -2, -1 (unique for each input)
- **This represents a function.**

2. **Second Option**:
- Values: (-1, -2), (-4, -9), (-23, 7), (9, 2), (3, 1)
- Inputs are: -1, -4, -23, 9, 3 (each input is unique)
- Outputs are: -2, -9, 7, 2, 1 (each output is unique)
- **This represents a function.**

3. **Third Option**:
- Values: (2.5, 3.2), (3.2, 3.1), (4.1, 5.2), (3.3, 3.4), (7.2)
- Inputs are: 2.5, 3.2, 4.1, 3.3, 7.2 (3.2 is repeated)
- Outputs are: 3.2, 3.1, 5.2, 3.4 (3.2 maps to both 3.2 and 3.1)
- **This does not represent a function.**

4. **Fourth Option**:
- Values: (-4, -5), (-6, -7), (-7, -8), (-7, -4), (-3, -1)
- Inputs are: -4, -6, -7, -3 (input -7 is repeated)
- Outputs: -5, -7, -8, -4, -1 (but -7 is mapped to both -8 and -4)
- **This does not represent a function.**

### Conclusion

The tables that represent functions are the **first option** and **the second option**.