Question

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

x y
2 1
2 6
2 8
2 9


x y 2 1 2 6 2 8 2 9

x y
-2 5
0 5
2 5
4 5


x y -2 5 0 5 2 5 4 5

x y
5 0
3 3
3 1
8 7


x y 5 0 3 3 3 1 8 7

x y
5 1
-1 0
6 8
5 7

Answer 1

To determine which table represents a function, we need to check if each input (x-value) is associated with exactly one output (y-value). In other words, a function cannot have the same x-value paired with different y-values.

Let's analyze each table:

1. **First Table:**
```
x y
2 1
2 6
2 8
2 9
```
- The x-value of 2 is paired with multiple y-values (1, 6, 8, 9). This does not represent a function.

2. **Second Table:**
```
x y
-2 5
0 5
2 5
4 5
```
- Each x-value (-2, 0, 2, 4) has a unique y-value (5). This represents a function.

3. **Third Table:**
```
x y
5 0
3 3
3 1
8 7
```
- The x-value of 3 is paired with multiple y-values (3, 1). This does not represent a function.

4. **Fourth Table:**
```
x y
5 1
-1 0
6 8
5 7
```
- The x-value of 5 is paired with multiple y-values (1, 7). This does not represent a function.

Based on this analysis, the only table that represents a function is the **Second Table.**