To determine the domain of the graph, we examine the x-values over which the function is defined.

Observations:

1. The graph starts at the point $(-6, -10.8)$, represented with a filled dot. This indicates the function includes $x = -6$.
2. The graph ends at the point $(2, -1.2)$, represented with an open dot. This means $x = 2$ is not included in the domain.

Domain:

The domain of the function is: $[-6, 2)$ This notation means $x$ ranges from $-6$ to $2$, including $-6$ but excluding $2$.

Would you like a detailed explanation of how to read domains from graphs? Let me know if you have any questions.

Follow-up Questions:

1. What is the range of this graph?
2. How do open and closed points affect domain and range?
3. How would the domain change if the graph extended beyond $x = 2$?
4. Can we determine if the function is continuous on its domain?
5. How would the inclusion of $x = 2$ alter the domain?

Tip: Remember, filled dots include the point, while open dots exclude the point when interpreting domains and ranges.