https://file.aiquickdraw.com/mathbot/file/17267864275823uvektz9.jpg

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**.

What is the domain of the above function?

Learn how to find the domain of a linear function from a graph. This example covers the concepts of domain and interval notation, showing how to interpret closed and open points on a graph. Suitable for students in Grades 6-8.

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