https://file.aiquickdraw.com/mathbot/file/1728168678523xkfpbxwp.jpg

Let's analyze the graph and answer each part of the problem:

### (a) **List the ordered pairs of the relation:**
To find the ordered pairs, we take the coordinates of each point from the graph.

1. The first point is located at (-4, 5).
2. The second point is at (-2, -2).
3. The third point is at (2, 3).
4. The fourth point is at (5, -3).
5. The fifth point is at (7, 1).

Now, we order the points by increasing values of \(x\), and if \(x\) values are equal, we order by increasing \(y\).

The ordered pairs are:
\[
(-4, 5), (-2, -2), (2, 3), (5, -3), (7, 1)
\]

### (b) **Find the domain of the relation:**
The domain is the set of all possible \(x\)-values in the relation. From the ordered pairs, the \(x\)-values are:
\[
-4, -2, 2, 5, 7
\]
Thus, the domain is:
\[
\{-4, -2, 2, 5, 7\}
\]

### (c) **Find the range of the relation:**
The range is the set of all possible \(y\)-values in the relation. From the ordered pairs, the \(y\)-values are:
\[
5, -2, 3, -3, 1
\]
Thus, the range is:
\[
\{5, -2, 3, -3, 1\}
\]

---

Would you like further clarification or details on any of these points?

### Relative questions:
1. What would change if a new point was added with an \(x\)-coordinate of \(1\)?
2. How can you determine if this relation is a function?
3. If the graph were extended, how would you predict new points for the relation?
4. Can a relation have multiple points with the same \(y\)-coordinate but different \(x\)-coordinates?
5. What is the impact of reflecting the graph across the \(x\)-axis?

### Tip:
When finding the domain and range of a graph, always look for all unique \(x\)-values for the domain and all unique \(y\)-values for the range!

Use the graph of the relation to list ordered pairs, find the domain and the range.

Learn how to analyze a graph of a relation by finding its ordered pairs, domain, and range. This problem focuses on identifying key points from the graph and organizing them in a logical way. Suitable for students in Grades 7-9.

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