Question

Look at this set of ordered pairs:

(20, 12)

(5, 1)

(1, 6)

(6, 6)

(18, 13)

(-14, 17)
Is this relation a function

Answer 1

To determine if the given set 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 of each pair). In other words, no two ordered pairs should have the same first element with different second elements.

Let's examine the ordered pairs:

1. (20, 12)
2. (5, 1)
3. (1, 6)
4. (6, 6)
5. (18, 13)
6. (-14, 17)

Now, let's look at the first elements:

- 20
- 5
- 1
- 6
- 18
- -14

Each first element is unique; there are no duplicates. Therefore, each input is associated with exactly one output.

Since each input has only one corresponding output, we can conclude that this relation **is** a function.