Question

Look at this set of ordered pairs:

(–11, 6)
(0, 6)
(12, 17)

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 ordered pair, which represents the x-coordinate) maps to exactly one output (the second element of each ordered pair, which represents the y-coordinate).

The ordered pairs you provided are:

1. (–11, 6)
2. (0, 6)
3. (12, 17)

Now let's examine the x-coordinates:

- For x = –11, the output is 6.
- For x = 0, the output is also 6.
- For x = 12, the output is 17.

Since each x-coordinate is unique and maps to only one y-coordinate, there are no repeated x-values with different y-values.

Therefore, this relation **is** a function.