Look at this set of ordered pairs:

Question

(9, 8)
(2, 1)
(–10, 10)
(0, 10)
(13, 13)

Is this relation a function?

Answer 1

A relation is considered a function if each input (or first element of the ordered pairs) corresponds to exactly one output (or second element).

Let's examine the ordered pairs given:

1. (9, 8)
2. (2, 1)
3. (–10, 10)
4. (0, 10)
5. (13, 13)

Now, let's check the first elements in each pair:

• 9 corresponds to 8
• 2 corresponds to 1
• –10 corresponds to 10
• 0 corresponds to 10
• 13 corresponds to 13

All the first elements (9, 2, –10, 0, and 13) are unique and do not repeat. Each input corresponds to exactly one output.

Since all the inputs are unique and map to a single output, this relation is indeed a function.