Question

Which of the tables below do NOT represent a function. Select all that apply.



Table A
7x 6y
9x 2y
2x 9y
8x 4y
Table B
3x 6y
1x 6y
4x 7y
3x 0y
Table C
9 x 6y
1x 6y
3x 7y
7x 0y
They all represent functions

Answer 1

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**.