To find the domain and range of the graphed function:

Domain:

The domain of the function represents the set of all possible x-values that the function can take. From the graph, the function starts at $x = -4$ (closed dot) and goes up to $x = 2$ (open dot). The closed dot at $x = -4$ indicates that this point is included in the domain, while the open dot at $x = 2$ indicates that this point is not included.

• Domain: $[-4, 2)$

Range:

The range of the function represents the set of all possible y-values. From the graph, the lowest y-value is $y = -5$, and the highest y-value is $y = 4$. The function reaches both of these values at points where there are closed dots.

• Range: $[-5, 4]$

Would you like more details on this solution or have any other questions?

Here are 5 related questions to expand on this concept:

1. How would the domain change if the open circle at $x = 2$ were filled in?
2. Can the domain of a function include infinity?
3. How do you find the range of a function algebraically?
4. What is the significance of closed vs open dots in graphs?
5. How does the shape of the function affect its domain and range?

Tip: Always pay attention to open and closed dots on graphs; they determine whether an endpoint is included in the domain or range!