To determine if a relation is a function, we must check if each input (or first component of each ordered pair) is associated with exactly one output (or second component).
Let's analyze the given set of ordered pairs:
- (9, 10)
- (15, 6)
- (15, 11)
- (0, -10)
- (9, 20)
- (10, 20)
We can look at each unique first component:
- For \(x = 9\), the outputs are 10 and 20.
- For \(x = 15\), the outputs are 6 and 11.
- For \(x = 0\), the output is -10.
- For \(x = 10\), the output is 20.
Since the input \(9\) corresponds to two different outputs (10 and 20), and the input \(15\) corresponds to two different outputs (6 and 11), this means that the relation does not satisfy the definition of a function.
Therefore, the relation is not a function.