Question

Which table below represents a function?(1 point)
Responses

x y
5 1
-1 0
6 8
5 7


x y 5 1 -1 0 6 8 5 7

x y
2 1
2 6
2 8
2 9


x y 2 1 2 6 2 8 2 9

x y
5 0
3 3
3 1
8 7


x y 5 0 3 3 3 1 8 7

x y
-2 5
0 5
2 5
4 5

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). If an x-value appears more than once with different y-values, it does not represent a function.

Let's analyze each table:

1. **Table 1:**
```
x y
5 1
-1 0
6 8
5 7
```
- The x-value 5 appears twice (1 and 7), so this is **not a function**.

2. **Table 2:**
```
x y
2 1
2 6
2 8
2 9
```
- The x-value 2 appears multiple times (1, 6, 8, 9), so this is **not a function**.

3. **Table 3:**
```
x y
5 0
3 3
3 1
8 7
```
- The x-value 3 appears twice (3 and 1), so this is **not a function**.

4. **Table 4:**
```
x y
-2 5
0 5
2 5
4 5
```
- All x-values (-2, 0, 2, 4) are unique, each corresponding to the same y-value of 5. This is a function.

Based on the analysis, **Table 4** represents a function.