Question

Look at this set of ordered pairs:

(0, 3)
(1, –3)
(0, 12)
(1, 12)

Is this relation a function?

Answer 1

To determine if a relation is a function, we need to check if each input (x-coordinate) is associated with exactly one output (y-coordinate). In this case, we examine the provided ordered pairs:

1. (0, 3)
2. (1, –3)
3. (0, 12)
4. (1, 12)

Let's look specifically at the x-coordinates:

- For x = 0, we have two outputs: 3 and 12.
- For x = 1, we also have two outputs: –3 and 12.

Since both x = 0 and x = 1 are associated with multiple y-values, the relation does not satisfy the definition of a function.

Thus, this relation is **not a function**.