From the graph provided, we will determine the domain and range of the function. Here's the analysis:

Domain:

The domain consists of all $x$-values for which the function is defined.

• The graph starts at $x = -3$ (solid dot at $(-3, 3)$) and continues to the right until $x = 2$ (open circle at $(2, -5)$).
• Solid dots indicate inclusion, while open circles indicate exclusion.

Domain: $[-3, 2)$

Range:

The range consists of all $y$-values for which the function is defined.

• The highest $y$-value is 3 (solid dot at $(-3, 3)$).
• The graph decreases until $y = -5$, but does not include $-5$ (open circle at $(2, -5)$).

Range: $[-5, 3]$

Would you like further clarification or details about this problem?

Related Questions:

1. What does a closed dot vs. an open dot indicate on a graph?
2. How does one identify continuity in a graph when determining the domain?
3. Can the domain or range include infinity in this graph? Why or why not?
4. How would the domain and range change if the function continued beyond $x = 2$?
5. What role do endpoints play in defining the range of a function?

Tip:

When analyzing a graph, always check the endpoints and the type of dot (solid or open) to ensure accurate domain and range identification.