From the graph provided, we can determine both the domain and range of the function.

Domain:

The domain is already given as $[-3, 1)$. This means the function includes the value $-3$ but not $1$.

Range:

The range of the function represents the set of $y$-values the graph covers. Observing the graph:

1. The lowest point is at $-5$, which is included in the range (closed circle).
2. The highest $y$-value is $4$, which is included in the range as well.

Thus, the range of the function is $[-5, 4]$.

If you have further questions or want to expand on this, let me know!

Questions to Explore:

1. What happens to the range if the graph shifts upward by 2 units?
2. How does the domain change if the endpoint at $x = 1$ becomes included?
3. Can you write a quadratic equation that fits this graph?
4. How does a change in scale on the axes affect the graph’s domain and range?
5. How can you determine the range of a graph without explicitly seeing it?

Tip:

To find the range of a function graphically, always look for the lowest and highest $y$-values and determine whether they are included or excluded using open or closed points.