Look at this set of ordered pairs:

Question

(–13, 20)
(5, –13)
(15, 13)

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). A relation is a function if no two ordered pairs have the same first element.

Let's examine the pairs provided:

1. (–13, 20)
2. (5, –13)
3. (15, 13)

The first elements (inputs) of the ordered pairs are: –13, 5, and 15.

Since all the first elements are different, there are no repeated inputs. Therefore, each input is associated with exactly one output.

Since there are no repeated first elements, we can conclude that this relation is a function.