To determine which tables do not represent a function, we need to check if any specific input (x-value) is associated with more than one output (y-value). A function must have each input mapped to exactly one output.
Let's examine each table:
Table A:
- 7x 6y
- 9x 2y
- 2x 9y
- 8x 4y
In Table A, all the x-values (7, 9, 2, 8) are unique. Therefore, this table does represent a function.
Table B:
- 3x 6y
- 1x 6y
- 4x 7y
- 3x 0y
In Table B, the x-value 3 appears twice (with y-values 6 and 0). This means that for the input x = 3 there are two different outputs (6 and 0), so Table B does not represent a function.
Table C:
- 9x 6y
- 1x 6y
- 3x 7y
- 7x 0y
In Table C, all the x-values (9, 1, 3, 7) are unique. Therefore, this table does represent a function.
Based on this analysis, the reply is:
Table B does NOT represent a function.
So, the tables that do not represent a function are:
- Table B.
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