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 1
-1 0
6 8
5 7


x y 5 1 -1 0 6 8 5 7

x y
5 0
3 3
3 1
8 7

Answer 1

To determine which table represents a function, we need to check whether each input (x-value) corresponds to exactly one output (y-value). In other words, for every unique x-value, there should be only one y-value associated with it.

Let's analyze each table:

1. **First table:**
```
x y
2 1
2 6
2 8
2 9
```
- For x = 2, there are multiple y-values (1, 6, 8, 9). **This is NOT a function.**

2. **Second table:**
```
x y
-2 5
0 5
2 5
4 5
```
- All x-values are unique (-2, 0, 2, 4), each has a single y-value (5). **This IS a function.**

3. **Third table:**
```
x y
5 1
-1 0
6 8
5 7
```
- For x = 5, there are two y-values (1, 7). **This is NOT a function.**

4. **Fourth table:**
```
x y
5 0
3 3
3 1
8 7
```
- For x = 3, there are two y-values (3, 1). **This is NOT a function.**

Based on the analysis, the **second table** is the only one that represents a function.