Final answer:
The given relation is a function because each x-value is unique and corresponds to exactly one y-value.
Step-by-step explanation:
To determine whether the relation is a function, we look at the list of given points: (1, -2), (2, 1), (3, 6), (4, 13), (5, 22).
A relation is considered a function if each input (x-value) corresponds to exactly one output (y-value). In other words, a function cannot have one x-value paired with multiple different y-values.
Checking the list of points:
- (1, -2)
- (2, 1)
- (3, 6)
- (4, 13)
- (5, 22)
We can see that each x-value is unique and corresponds to exactly one y-value. Therefore, the relation is a function. This is further confirmed by the dependence of y on x, where each value of x has a specific y associated with it and no x-values are repeated.