Final answer:
Only the first set {(0, 0), (1, 1), (2, 3), (3, 3)} represents y as a function of x because each x-value is paired with exactly one y-value. All other sets have at least one x-value paired with different y-values, which does not satisfy the definition of a function.
Step-by-step explanation:
The question requires us to identify the set of ordered pairs that represents y as a function of x. In mathematics, a function is a relation in which each element of the domain (x-values) is paired with exactly one element of the codomain (y-values). Therefore, there should not be two or more different y-values associated with a single x-value.
Examining the given sets of ordered pairs, the first set is {(0, 0), (1, 1), (2, 3), (3, 3)}. Here, all x-values are unique and are associated with one y-value each. Thus, this set represents y as a function of x.
The second set is {(0, 0), (0, 1), (2, 3), (3, 4)}. This set has the x-value of 0 paired with two different y-values, so it does not represent a function.
The third set is {(1,0), (2, 0), (3, 3), (3, 4)}. Here, the x-value of 3 is paired with two different y-values, hence, it does not represent a function.
The fourth set presented is incomplete and thus cannot be evaluated. The fifth set is {(-1,0), (1, 0), (3, 0), (3, 4)}. As with the previous examples, the x-value of 3 is paired with two different y-values, so it does not represent a function.
The only set that represents y as a function of x is the first set: {(0, 0), (1, 1), (2, 3), (3, 3)}.