Question

which of the tables is not a function?
table A table B table C
x y x y x y
0 5 3 5 1 5
3 5 0 7 8 1
9 7 1 9 7 6
5 0 3 0 3 3

Answer 1

To determine which of the tables represents a function, we need to check if each input (x-value) maps to exactly one output (y-value). If any x-value maps to more than one y-value, then that table is not a function.

Let's analyze each table:

### Table A
| x | y |
|---|---|
| 0 | 5 |
| 3 | 5 |
| 9 | 7 |
| 5 | 0 |

- x = 0 maps to y = 5
- x = 3 maps to y = 5
- x = 9 maps to y = 7
- x = 5 maps to y = 0

No repeated x-values, so **Table A is a function**.

### Table B
| x | y |
|---|---|
| 3 | 5 |
| 0 | 7 |
| 1 | 9 |
| 3 | 0 |

- x = 3 maps to y = 5 and also to y = 0 (the same x-value gives two different y-values).

Since x = 3 maps to two different outputs, **Table B is not a function**.

### Table C
| x | y |
|---|---|
| 1 | 5 |
| 8 | 1 |
| 7 | 6 |
| 3 | 3 |

No repeated x-values, so **Table C is a function**.

### Conclusion
**Table B is not a function.**