Question

Select Is a Function or Is not a Function to correctly classify each relation.

A. {(3, 2),(6, 4),(9, 6),(12, 8)}
B. {(2, 3),(2, 5),(3, 6),(9, 4)}
C. {(2, 4),(6, 3),(4, 8),(6, 6)}
D. {(3, 4),(5, 2),(6, 8),(6, 4)}

Answer 1

To determine whether each relation is a function, we need to check if each input (the first element of the ordered pairs) is associated with exactly one output (the second element of the ordered pairs).

A. **{(3, 2),(6, 4),(9, 6),(12, 8)}**
- Each input (3, 6, 9, 12) is associated with exactly one output.
- **Classification: Is a Function**

B. **{(2, 3),(2, 5),(3, 6),(9, 4)}**
- The input 2 is associated with two different outputs (3 and 5).
- **Classification: Is not a Function**

C. **{(2, 4),(6, 3),(4, 8),(6, 6)}**
- The input 6 is associated with two different outputs (3 and 6).
- **Classification: Is not a Function**

D. **{(3, 4),(5, 2),(6, 8),(6, 4)}**
- The input 6 is associated with two different outputs (8 and 4).
- **Classification: Is not a Function**

Here’s the summary:

A. Is a Function
B. Is not a Function
C. Is not a Function
D. Is not a Function