Question

Which of the following lists of ordered pair is a function

(1,2),(4,0),(3,5),(4,3)
(2,5),(3,6),(6,9)
(-1,2),(2,3),(3,1),(2,5)
(2,5),(3,6),(2,1)

Answer 1

To determine whether each list of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element). If any input is paired with multiple outputs, the relation is not a function.

Let's analyze each list:

1. **(1,2), (4,0), (3,5), (4,3)**:
- Input 4 appears twice, with outputs 0 and 3.
- This is **not a function**.

2. **(2,5), (3,6), (6,9)**:
- Each input (2, 3, and 6) is unique and corresponds to exactly one output.
- This **is a function**.

3. **(-1,2), (2,3), (3,1), (2,5)**:
- Input 2 appears twice, with outputs 3 and 5.
- This is **not a function**.

4. **(2,5), (3,6), (2,1)**:
- Input 2 appears twice, with outputs 5 and 1.
- This is **not a function**.

In summary, the only list that represents a function is:

**(2,5), (3,6), (6,9)**.