Let's analyze the graph to determine the domain and range.

Domain:

• The domain refers to all possible $x$-values for which the function is defined.
• From the graph, the function starts at $x = -3$ and ends at $x = 2$. So the domain is $-3 \leq x \leq 2$.

Range:

• The range refers to all possible $y$-values that the function can take.
• From the graph, the lowest point is around $y = -6$, and the highest point is at approximately $y = 6.25$. So the range is $-6 \leq y \leq 6.25$.

Correct Answer:

The correct option is:

• Domain: $-3 \leq x \leq 2$
• Range: $-6 \leq y \leq 6.25$

This matches the first option in the list.

Would you like more details or have any questions?

Here are 5 related questions to expand understanding:

1. What are the differences between domain and range in a function?
2. How would the domain change if the graph was extended to $x = 4$?
3. Can a function have an infinite range but a finite domain?
4. How do vertical asymptotes affect the domain of a function?
5. What is the difference between an open and closed interval in domain or range?

Tip: Always check both endpoints of the graph to accurately determine the domain and range!