Which of the tables below do NOT represent a function. Select all that apply.
Table A
Table B
Table C
7
9
2
8
6
2
g
4
y
3
1
4
3
6
6
7
g
1
3
7
6
6
7
0
Table A
Table B
Table c
They all represent functions
Table A, Table B, and Table C do not represent functions.
To determine which tables do NOT represent a function, we need to understand what a function is. A function is a relation where each input (x-value) has only one output (y-value).
Let's examine each table:
Table A:
x | y
7 | 9
2 | 8
6 | 2
Table B:
x | y
g | 4
y | 3
1 | 4
3 | 6
6 | 7
Table C:
x | y
g | 1
3 | 7
6 | 6
0 |
From the given tables, Table B and Table C do NOT represent a function because they have multiple y-values for the same x-value.
Therefore, the tables that do NOT represent a function are:
Table B
Table C
To determine if a table represents a function, we need to check if there are any repeated values in the input (x) column. If there are repeated values, then it means that for a single input, there are multiple outputs, which violates the definition of a function.
Now, let's analyze the tables:
Table A:
x | 7 9 2 8 6
y | 2 3
In Table A, the input (x) column does not have any repeated values. Therefore, for each input, there is a unique output. Hence, Table A represents a function.
Table B:
x | 2 6 7 g 1
y | 3 4 6 6 7
In Table B, we can see that there is a repeated value '6' in the input (x) column. So, for the input '6', there are two different outputs '4' and '6'. Therefore, Table B does not represent a function.
Table C:
x | 2 7 0
y | 6 6 7
In Table C, the input (x) column does not have any repeated values. Hence, Table C represents a function.
Therefore, the table that does NOT represent a function is Table B.