Question

[A,
X: 0, 2, 3, 4, 5, 6
F(X): 1, 3, 4, 5, 6, 7]
[B.
X: -3, -2, -1, 0, 1, 2
F(X): 9, 4, 1, 0, 1, 4 ]
[C.
X: 0,2,3,4,5,6,
F(X): 3,3,3,3,3,3,]
[D:
X: 0,2,0,2,0,2
F(X):-1,3,4,5,6,7




Which table does NOT represent a function?
A. a
B. b
C. c
D. d
E. All of the tables represent functions

Answer 1

you are correct, thank you!

Answer 2

A function is defined as a relation in which each input (X value) is associated with exactly one output (F(X) value).

Let's examine each table:

- **A**:
- X: 0 is associated with F(X): 1,
- X: 2 is associated with F(X): 3,
- X: 3 is associated with F(X): 4,
- X: 4 is associated with F(X): 5,
- X: 5 is associated with F(X): 6,
- X: 6 is associated with F(X): 7.

All inputs have unique outputs, so A represents a function.

- **B**:
- X: -3 is associated with F(X): 9,
- X: -2 is associated with F(X): 4,
- X: -1 is associated with F(X): 1,
- X: 0 is associated with F(X): 0,
- X: 1 is associated with F(X): 1,
- X: 2 is associated with F(X): 4.

All inputs have unique outputs, so B represents a function.

- **C**:
- X values are 0, 2, 3, 4, 5, 6, but F(X) for all these values is 3.

Each input has exactly one output, so C represents a function.

- **D**:
- X: 0 is associated with F(X): -1,
- X: 2 is associated with F(X): 3,
- X: 0 (again) is associated with F(X): 4,
- X: 2 (again) is associated with F(X): 5.

Here, the input 0 corresponds to two different outputs (-1 and 4), and the input 2 also has two different outputs (3 and 5). Therefore, D does not represent a function.

Thus, the table that does **NOT** represent a function is **D**.

The answer is **D**.