The graph in the image represents a function defined on a segment of the x-axis. From what I can observe:

• The function starts at $x = -10$, and the graph continues until approximately $x = 2$, where the graph has an open circle indicating that this value is not included in the domain.

Thus, the domain of the function is the interval from $x = -10$ to $x = 2$, but without including $x = 2$. This can be written in interval notation as: $[-10, 2)$

So the correct answer for the domain is: $-10 \leq x < 2$

Would you like further clarification on this, or should I continue with related problems? Here are 5 related questions for deeper understanding:

1. How do you determine the range of this function?
2. What does the open circle on the graph represent in terms of the function's values?
3. How do you define a function’s domain and range in general?
4. What happens to the domain if the function has a discontinuity?
5. How can we represent the domain using inequalities?

Tip: Open circles in graphs indicate that the corresponding x-value is not included in the domain, while closed circles indicate that the value is included.