https://file.aiquickdraw.com/mathbot/file/1726702173531z6ld56t3.jpg

The given graph shows a relation \( T \) with five points plotted on a coordinate plane. To find the **domain** and **range**, we need to identify the x- and y-coordinates of these points.

### Steps:
- **Domain**: The domain is the set of all x-values in the relation.
- **Range**: The range is the set of all y-values in the relation.

### Points on the graph:
The coordinates of the points are:
- \( (-2, 3) \)
- \( (0, -3) \)
- \( (3, -1) \)
- \( (4, 1) \)
- \( (1, -4) \)

### Domain:
The x-coordinates are: \( -2, 0, 3, 4, 1 \).
So, the domain is:
\[
\{ -2, 0, 1, 3, 4 \}
\]

### Range:
The y-coordinates are: \( 3, -3, -1, 1, -4 \).
So, the range is:
\[
\{ 3, -3, -1, 1, -4 \}
\]

### Final Answer:
- Domain = \( \{ -2, 0, 1, 3, 4 \} \)
- Range = \( \{ 3, -3, -1, 1, -4 \} \)

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Do you want further details or have any questions?

Here are 5 related questions:
1. What is the definition of a relation in mathematics?
2. How does the domain of a function differ from the range?
3. Can a relation have repeated x-values in the domain?
4. How do you determine if a relation is also a function?
5. What is the difference between discrete and continuous relations?

**Tip**: When analyzing a graph, always carefully identify the exact coordinates of points to avoid mistakes with domain and range!

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

Find the domain and range of a relation represented on a graph. This problem involves identifying x- and y-coordinates of points and writing the domain and range using set notation. Suitable for students in Grades 8-10.

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