To determine if the given set of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element of each pair).
The given ordered pairs are:
- (1, 0)
- (15, 20)
- (19, 19)
- (4, 11)
Now, let's examine the first elements (the inputs):
- 1 appears in the pair (1, 0)
- 15 appears in the pair (15, 20)
- 19 appears in the pair (19, 19)
- 4 appears in the pair (4, 11)
Each input appears only once in the entire set, which means that every input is associated with exactly one output.
Since there are no repeated first elements (inputs), this relation is indeed a function.