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

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
negative 4 negative 5 negative 6 negative 7 negative 7 negative 8 negative 7 negative 4 negative 3 negative 1

−1
−2
−4
−9
−23
7 9 2 3 1

Answer 1

To determine which table represents a function, we need to check whether each input (x-value) has a unique output (y-value). In other words, for a relation to be a function, no x-value can be associated with more than one y-value.

Let's analyze each set of values from the responses:

1. **First Table:**
```
-5 -8
-8 6
0 -2
5 -1
3
```
- Here, there are no repeated x-values, so this table represents a function.

2. **Second Table:**
```
2.5 3.2
3.2 3.1
4.1 5.2
3.3 3.4
7.2
```
- The x-value `3.2` appears more than once, so this table does not represent a function.

3. **Third Table:**
```
-4
-5
-6
-7
-7
-8
-7
-4
-3
-1
```
- Here, the x-values `-7` and `-4` appear more than once, so this table does not represent a function.

4. **Fourth Table:**
```
-1
-2
-4
-9
-23
7
9
2
3
1
```
- All x-values are unique, so this table represents a function.

**Conclusion:** The first table and the fourth table both represent functions.