To determine the domain and range of this relation, let's look at the pairs provided:

The relation is given by: $(10, 3), (2, -3), (9, -10), (-2, 1)$

1. Domain: The domain is the set of all unique x-values in the relation.

   • From the pairs, the x-values are $10$, $2$, $9$, and $-2$.
   • Therefore, the domain is $\{-2, 2, 9, 10\}$.

2. Range: The range is the set of all unique y-values in the relation.

   • From the pairs, the y-values are $3$, $-3$, $-10$, and $1$.
   • Therefore, the range is $\{-10, -3, 1, 3\}$.

Correct Answer

The answer with:

• Domain: $\{-2, 2, 9, 10\}$
• Range: $\{-10, -3, 1, 3\}$

is located in the bottom-left option.

Would you like more details on domain and range, or have any questions?

Here are five related questions to deepen your understanding:

1. How do you find the domain and range in a function versus a relation?
2. Can the same y-value appear more than once in the range?
3. Why is the domain restricted to unique values?
4. How would the domain and range change if we added a new pair $(5, -10)$?
5. What would the domain and range be if all y-values were positive?

Tip: Remember, the domain includes all x-values, while the range includes all y-values, with no duplicates in either set.