Question

Look at this set of ordered pairs:

(19, 16)
(19, 20)
(0, –8)
(8, 6)
(13, 18)

Is this relation a function?

Answer 1

To determine whether the given set of ordered pairs represents a function, we need to check if each input (the first element of each ordered pair) corresponds to exactly one output (the second element of each ordered pair).

The ordered pairs you provided are:
1. (19, 16)
2. (19, 20)
3. (0, -8)
4. (8, 6)
5. (13, 18)

In this set, the input 19 appears twice:
- In the first pair, 19 maps to 16.
- In the second pair, 19 maps to 20.

Since the input 19 is associated with two different outputs (16 and 20), this relation is **not a function**. A function can have only one output for each unique input.