Question

Look at this set of ordered pairs:

(1, 15)
(–15, 10)
(19, 9)
(9, 19)

Is this relation a function?

Answer 1

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

Let's examine the given pairs:

1. (1, 15)
2. (–15, 10)
3. (19, 9)
4. (9, 19)

Now, we can check the unique inputs:

- The input 1 corresponds to the output 15.
- The input -15 corresponds to the output 10.
- The input 19 corresponds to the output 9.
- The input 9 corresponds to the output 19.

Every input (1, -15, 19, and 9) is unique and each one corresponds to exactly one output.

Since no input is repeated with a different output, we can conclude that this relation **is a function**.