1. **Stating the problem:** We want to find the domain and range of a relation. A relation is a set of ordered pairs, and the domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values). 2. **Formula and rules:** - Domain: all first elements of the ordered pairs. - Range: all second elements of the ordered pairs. 3. **Example:** Consider the relation $\{(1,2), (3,4), (5,6), (3,7)\}$. 4. **Find the domain:** Look at all the x-values: $1, 3, 5, 3$. The domain is the set of unique x-values: $$\{1, 3, 5\}$$. 5. **Find the range:** Look at all the y-values: $2, 4, 6, 7$. The range is the set of unique y-values: $$\{2, 4, 6, 7\}$$. 6. **Explanation:** The domain tells us which x-values are allowed or used in the relation, and the range tells us which y-values are produced by those x-values. **Final answer:** - Domain: $$\{1, 3, 5\}$$ - Range: $$\{2, 4, 6, 7\}$$