https://file.aiquickdraw.com/mathbot/file/1727301903842s6mstos7.jpg

Let's go through the exercises on the page.

### 1. 
Relation: \(\{(0, 1), (2, 4), (4, 7), (9, 1)\}\)

- **Domain**: The set of all \(x\)-values: \(\{0, 2, 4, 9\}\)
- **Range**: The set of all \(y\)-values: \(\{1, 4, 7\}\)

### 2.
Relation: \(\{(1, 1), (2, 2), (4, 5), (4, 1)\}\)

- **Domain**: The set of all \(x\)-values: \(\{1, 2, 4\}\)
- **Range**: The set of all \(y\)-values: \(\{1, 2, 5\}\)

### 3.
Relation: \(\{(2, 1), (3, 4), (7, 7), (1, 9)\}\)

- **Domain**: The set of all \(x\)-values: \(\{1, 2, 3, 7\}\)
- **Range**: The set of all \(y\)-values: \(\{1, 4, 7, 9\}\)

### 4.
Relation: \(\{(8, \frac{1}{2}), (5, 4), (-4, 7), (-9, -2)\}\)

- **Domain**: The set of all \(x\)-values: \(\{8, 5, -4, -9\}\)
- **Range**: The set of all \(y\)-values: \(\{\frac{1}{2}, 4, 7, -2\}\)

### 9. (table relation)

The values in the table are:

\[
\begin{aligned}
  (-2, -2), \\
  (3, 0), \\
  (5, 0), \\
  (7, 1), \\
  (1, -1)
\end{aligned}
\]

- **Domain**: \(\{-2, 3, 5, 7, 1\}\)
- **Range**: \(\{-2, 0, 1, -1\}\)

Let me know if you need details or further clarifications on any of the above answers!

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Here are 5 related questions you can explore:
1. How do you find the domain and range for a function given by an equation?
2. What is the domain and range of the function \(f(x) = x^2 + 3x + 1\)?
3. Can a relation be a function if one \(x\)-value maps to multiple \(y\)-values?
4. What is the difference between a relation and a function?
5. How do you graph the domain and range of a set of points?

**Tip**: The domain is all the possible \(x\)-values, while the range is all possible \(y\)-values of a relation or function!

Write the domain and range for each relation given in the worksheet.

Find the domain and range for given relations. This worksheet covers fundamental concepts in set theory, helping students understand how to determine the domain and range from ordered pairs. Suitable for students in Grades 6-8.

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