Question

Look at this set of ordered pairs:

(–8, 9)
(14, 7)
(7, 4)
(14, –1)

Is this relation a function?

Answer 1

To determine if a relation is a function, we need to check if each input (or x-coordinate) is associated with exactly one output (or y-coordinate). In other words, no x-coordinate should be repeated with a different y-coordinate.

Let's examine the ordered pairs:

1. (–8, 9)
2. (14, 7)
3. (7, 4)
4. (14, –1)

Now, we can look for repeated x-coordinates:

- The x-coordinate –8 corresponds to the y-coordinate 9.
- The x-coordinate 14 appears twice: once with the y-coordinate 7 and once with the y-coordinate –1.
- The x-coordinate 7 corresponds to the y-coordinate 4.

Since the x-coordinate 14 is associated with two different y-coordinates (7 and –1), this relation is **not a function**.