Domain and Range of the Function:

1. Domain: The domain represents all the possible input values (x-values) for the function.

   • The graph starts from the left at $x = -2$ (indicated by the open circle), meaning this point is not included in the domain.
   • The graph continues until $x = 1$ (indicated by the closed circle), meaning this point is included in the domain.

   Therefore, the domain is:
   $(-2, 1]$

2. Range: The range represents all the possible output values (y-values) for the function.

   • The highest point on the graph is around $y = 2$, which is not included (open circle).
   • The lowest point on the graph is $y = -1$, which is included (closed circle).

   Therefore, the range is:
   $(-1, 2)$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you find the domain and range of a function algebraically?
2. What is the difference between open and closed intervals in domain and range?
3. How do you determine if a function is continuous based on its graph?
4. How can you identify whether a function is increasing or decreasing from a graph?
5. What is the significance of the domain and range in real-world applications?

Tip: When determining the domain and range of a function from a graph, always pay attention to open and closed circles, as they indicate whether specific values are included or not.