Question

Look at this set of ordered pairs:

(15, 4)
(12, –11)
(8, 2)
(11, 16)

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 of each ordered pair). In other words, no two ordered pairs can have the same first element with different second elements.

Let's examine the given ordered pairs:

1. (15, 4)
2. (12, –11)
3. (8, 2)
4. (11, 16)

The first elements (inputs) are:
- 15
- 12
- 8
- 11

Since all these first elements are unique and do not repeat, there are no cases of an input mapping to more than one output.

Therefore, this relation is indeed a function.