Question

Which table represents a function?(1 point)
Responses

−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

−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

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

−1
−2
−4
−9
−23
7 9 2 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). A relation is a function if no x-value is repeated with a different y-value.

Let's analyze the options:

1. **First table**:
- Input values: -4, -5, -6, -7 (noticing that -7 appears twice), -8, -4, -3, -1.
- Since -7 and -4 are both associated with multiple outputs, this table does not represent a function.

2. **Second table**:
- Input values: -5, -8 (noticing that -8 appears twice), 6, -7, 0, -2, 5, -1, 3.
- Since -8 is associated with multiple outputs, this table does not represent a function.

3. **Third table**:
- Input values: 2.5, 3.2 (noticing that 3.2 appears twice), -3.4, 3.1, 4.1, 5.2, 3.3, 3.4, 7.2.
- Since 3.2 has multiple outputs, this table does not represent a function.

4. **Fourth table**:
- Input values: -1, -2, -4, -9, -23, 7, 9, 2, 3, 1.
- All input values are unique and correspond to one output each, so this table represents a function.

Based on this analysis, the **fourth table** represents a function.