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:
- (–11, 6)
- (0, 6)
- (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.