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 = $\{ 3, -3, -1, 1, -4 \}$

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!