To determine which set of ordered pairs represents a function, we need to check the tables and ensure that no $x$-value is repeated with a different $y$-value. A function assigns exactly one output (or $y$-value) to each input (or $x$-value).

Let's review the tables:

1. First table: (0, 3) \\ (1, 3) \\ (2, 3) \\ (3, 3) \end{aligned}$$ All $$x$$-values are unique, so this table represents a function.
2. Second table: (1, 2) \\ (2, 3) \\ (3, 4) \\ (4, 5) \end{aligned}$$ Again, all $$x$$-values are unique, so this also represents a function.
3. Third table: (1, 2) \\ (1, 3) \\ (2, 7) \\ (3, 9) \end{aligned}$$ Here, the $$x$$-value 1 is repeated with different $$y$$-values (2 and 3), so this does **not** represent a function.
4. Fourth table: (-3, 5) \\ (-3, 5) \\ (0, 5) \\ (3, 5) \end{aligned}$$ All $$x$$-values are unique (even though the $$y$$-values are the same), so this represents a function.

Conclusion:

The first, second, and fourth tables represent functions. The third table does not represent a function because the $x$-value 1 is repeated with two different $y$-values.

Would you like further details on how to identify functions? Here are some related questions you can consider:

1. What are the key characteristics of a function?
2. Can a function have repeated $y$-values?
3. What is the difference between a relation and a function?
4. How would you graphically represent a function from ordered pairs?
5. How can the vertical line test be used to determine if a graph represents a function?

Tip: Always check that each $x$-value corresponds to only one $y$-value when determining if a relation is a function.