which of the tables is not a function?

Question

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.