To determine the domain and range of the function based on the graph:

Domain:

The domain is the set of all possible $x$-values (horizontal axis) over which the function is defined. From the graph, the function starts at $x = -5$ and ends at $x = 1$, so the domain in interval notation is: $[-5, 1]$

Range:

The range is the set of all possible $y$-values (vertical axis) that the function can take. Looking at the graph, the function starts at $y = 0$ and reaches a maximum of $y = 4$. Therefore, the range is: $[0, 4]$

Would you like more details on how to find domain and range, or help with another aspect of this problem?

Here are five related questions you might find useful:

1. How do you determine the domain of more complex functions like rational functions?
2. How does the range change if the function is flipped vertically?
3. Can a function have a domain but no range?
4. How does the concept of domain and range apply to real-world problems?
5. What happens to the domain and range when transformations like shifting or stretching are applied to the function?

Tip: Always carefully observe the endpoints of the graph to determine whether they are included (closed circle) or excluded (open circle) from the domain or range.