https://file.aiquickdraw.com/mathbot/file/1726533916639r4nte6i5.jpg

In this graph, we see four points that define the relation \( T \). To determine the domain and range, let's examine the coordinates of the points:

### Step 1: Identify the coordinates of each point
From visual inspection:
- Point 1: \( (-3, -3) \)
- Point 2: \( (0, 0) \)
- Point 3: \( (2, -2) \)
- Point 4: \( (2, 3) \)

### Step 2: Find the Domain
The domain of a relation is the set of all \( x \)-coordinates.
- The \( x \)-coordinates are \( -3, 0, 2 \).

Thus, the **domain** in set notation is:
\[
\text{Domain} = \{-3, 0, 2\}
\]

### Step 3: Find the Range
The range is the set of all \( y \)-coordinates.
- The \( y \)-coordinates are \( -3, 0, -2, 3 \).

Thus, the **range** in set notation is:
\[
\text{Range} = \{-3, 0, -2, 3\}
\]

Would you like further details or clarifications?

Here are five related questions you might want to explore:
1. What is the difference between a relation and a function?
2. How can we determine if a relation is a function using the graph?
3. Can we extend this relation to include more points while maintaining the same domain?
4. How does the vertical line test help determine if a relation is a function?
5. What happens to the domain and range if we apply transformations like shifting or scaling?

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

The graph of the relation T is shown below. Give the domain and range of T using set notation.

Learn how to determine the domain and range of a relation based on its graph. This example involves the relation T with points plotted on a coordinate plane. Perfect for students learning about domain and range concepts in Grades 6-8.

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