Question

A.
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
B.
x f(x)
-3 9
-2 4
-1 1
0 0
1 1
2 4
C.
x f(x)
0 3
2 3
3 3
4 3
5 3
6 3
D.
x f(x)
0 -1
2 3
0 4
2 5
0 6
2 7


Which table does NOT represent a function?
Responses
A AA
B BB
C CC
D DD
E All of the tables represent functions.All of the tables represent functions.

Answer 1

To determine which table does not represent a function, we need to check if any x-value has more than one corresponding f(x) value.

- **Table A**:
- x = 0 → f(x) = 1
- x = 2 → f(x) = 3
- x = 3 → f(x) = 4
- x = 4 → f(x) = 5
- x = 5 → f(x) = 6
- x = 6 → f(x) = 7
- **(All x-values are unique)**

- **Table B**:
- x = -3 → f(x) = 9
- x = -2 → f(x) = 4
- x = -1 → f(x) = 1
- x = 0 → f(x) = 0
- x = 1 → f(x) = 1
- x = 2 → f(x) = 4
- **(Unique x-values)**

- **Table C**:
- x = 0 → f(x) = 3
- x = 2 → f(x) = 3
- x = 3 → f(x) = 3
- x = 4 → f(x) = 3
- x = 5 → f(x) = 3
- x = 6 → f(x) = 3
- **(All x-values are unique)**

- **Table D**:
- x = 0 → f(x) = -1 and f(x) = 4 and f(x) = 6 → **(x = 0 maps to multiple values)**
- x = 2 → f(x) = 3 and f(x) = 5 and f(x) = 7 → **(x = 2 also maps to multiple values)**

From this analysis, **Table D** does not represent a function because it has x-values that correspond to multiple f(x) values.

So the answer is **D (DD)**.