To determine whether a relation is a function from these tables of values, we need to check if each input (x-value) corresponds to exactly one output (y-value). A relation is a function if no x-value is paired with more than one y-value.

First Table:

In this table, each x-value has exactly one corresponding y-value. Therefore, this relation is a function.

Second Table:

Here, the x-value 2 corresponds to two different y-values (4 and 5). Since an x-value is associated with more than one y-value, this relation is not a function.

Would you like further details or have any questions?

Here are 5 related questions you might consider:

1. What is the definition of a function in mathematics?
2. How can you visually determine if a relation is a function using a graph?
3. Are there other ways to test whether a relation is a function (e.g., vertical line test)?
4. What is the significance of domain and range in determining a function?
5. How do you represent functions algebraically instead of using a table?

Tip: Always ensure each x-value has only one corresponding y-value when determining if a relation is a function.