A.

Question

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).