Looking at the graph, it seems to be a portion of a function with a defined domain and range based on its shape and endpoints. Here's a step-by-step analysis:

Domain:

The domain refers to all possible $x$-values for which the function is defined. Based on the graph:

• The curve starts at $x = -2$ (closed point), and
• It ends at $x = 3$ (open point).

Thus, the domain is: $\boxed{[-2, 3)}$

Range:

The range refers to all possible $y$-values of the function. From the graph:

• The highest point is at $y = 4$ when $x = -2$,
• The curve decreases until $y = -4$ at $x = 3$ (since it is an open circle).

Thus, the range is: $\boxed{[-4, 4]}$

Would you like more details or have any questions?

Here are some related questions to think about:

1. What happens to the function if the domain is extended beyond $[-2, 3]$?
2. Can the function have more than one value for the same $x$?
3. How can we find the equation of this curve based on the points?
4. How do open and closed circles affect the domain and range of a function?
5. How could transformations of functions affect the domain and range?

Tip: Always pay close attention to open vs closed points when determining domain and range!