https://file.aiquickdraw.com/mathbot/file/172730205555791wl125r.jpg

Let's work through question 9 from the table in the image.

### Table from question 9:
\[
\begin{array}{c|c}
x & y \\
\hline
-2 & -2 \\
3  & -1 \\
5  & 0  \\
7  & 1  \\
3  & 0  \\
\end{array}
\]

1. **Write the relation as a set of ordered pairs:**
   A relation can be expressed as a set of ordered pairs \((x, y)\).
   From the table, the ordered pairs are:
   \[
   (-2, -2), (3, -1), (5, 0), (7, 1), (3, 0)
   \]

2. **State the domain:**
   The **domain** consists of all the distinct \(x\)-values in the relation:
   \[
   \{ -2, 3, 5, 7 \}
   \]
   (Note: Even though \(3\) appears twice in the table, we list it only once in the domain.)

3. **State the range:**
   The **range** consists of all the distinct \(y\)-values in the relation:
   \[
   \{ -2, -1, 0, 1 \}
   \]

Now that we have solved this, feel free to ask for any clarification!

Here are some follow-up questions to help deepen your understanding:
1. Can a relation have repeated \(x\)-values in its domain?
2. How would the relation change if one of the \(x\)-values was paired with a different \(y\)-value?
3. Can a relation still be a function if an \(x\)-value repeats with different \(y\)-values?
4. What happens to the range if we added more points with repeated \(x\)-values?
5. How do we graph a relation from a table like this?

**Tip**: The domain is always about the \(x\)-values, and the range is about the \(y\)-values!

Given a table of values, write the relation as a set of ordered pairs and determine the domain and range.

Learn how to find the domain and range from a given table of ordered pairs. This problem involves understanding the concepts of relations, identifying the distinct x-values (domain), and determining the corresponding y-values (range). Suitable for students in Grades 7-9.

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