Question: Find the domain and range of the relation given in this table. Enter your solution in set notation (eg. \{n1, n2, ..., nk\}).
x y
−3 −4
−2 7
2 0
3 −10
10 8
Show your work here
domain:
range:
1. **State the problem:** We are given a relation as a set of ordered pairs from a table:
$$\{(-3,-4), (-2,7), (2,0), (3,-10), (10,8)\}$$
We need to find the domain and range of this relation and express them in set notation.
2. **Recall definitions:**
- The **domain** of a relation is the set of all possible input values (the $x$-values).
- The **range** of a relation is the set of all possible output values (the $y$-values).
3. **Identify the domain:**
From the table, the $x$-values are:
$$-3, -2, 2, 3, 10$$
So the domain is:
$$\{-3, -2, 2, 3, 10\}$$
4. **Identify the range:**
From the table, the $y$-values are:
$$-4, 7, 0, -10, 8$$
So the range is:
$$\{-4, 7, 0, -10, 8\}$$
5. **Final answer:**
**Domain:** $$\{-3, -2, 2, 3, 10\}$$
**Range:** $$\{-4, 7, 0, -10, 8\}$$