Let's go through each part of the question.

Part (a): Write the relation as a set of ordered pairs.

The table provided has values for $x$ and $y$. Each row corresponds to an ordered pair $(x, y)$ in the relation. Here are the ordered pairs from the table:

1. $(-6, 3)$
2. $(4, 0)$
3. $(3, 4)$
4. $(0, -1)$
5. $(7, -3)$
6. $(1, -2)$

So, the relation as a set of ordered pairs is: $\{ (-6, 3), (4, 0), (3, 4), (0, -1), (7, -3), (1, -2) \}$

Part (b): Determine the domain and range.

• Domain: The domain is the set of all $x$-values from the ordered pairs: $\{-6, 4, 3, 0, 7, 1\}$

• Range: The range is the set of all $y$-values from the ordered pairs: $\{3, 0, 4, -1, -3, -2\}$

Let me know if you need further details or have any questions!

Related Questions to Explore:

1. What is the difference between a relation and a function?
2. How do you determine if a relation is a function?
3. What is the significance of the domain in a relation?
4. How can the range be interpreted in real-world problems?
5. Can a relation have more than one $y$-value for each $x$-value and still be a function?

Tip:

For any relation, checking if each $x$-value corresponds to only one $y$-value helps determine if it's a function.