Yes, the given relation {(3,-7),(0,-8),(2,2),(-8,-8)} does represent a function.
For a relation to represent a function, each element in the domain (which are the first elements of the ordered pairs) must be paired with exactly one element in the range (the second elements of the ordered pairs).
Let's break it down:
The pairs in the relation are:
- (3, -7)
- (0, -8)
- (2, 2)
- (-8, -8)
The first elements (known as the domain) are 3, 0, 2, and -8. None of these values are repeated.
The corresponding values (known as the range) are -7, -8, 2, and -8. Repetition in the range values does not affect whether a relation is a function, only the domain values matter in this case.
Therefore, since each domain value is paired with exactly one range value, this relation does represent a function.