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The graph you uploaded shows a linear function that starts at \( x = -10 \) and ends at \( x = 5 \). The domain of a function refers to the set of possible \( x \)-values for which the function is defined.

In this case, the graph starts at \( x = -10 \) and ends at \( x = 5 \), meaning the domain includes all \( x \)-values between \( -10 \) and \( 5 \), inclusive of these boundary points since the graph appears to have closed dots at both ends.

Thus, the domain of the function can be written as:

\[
-10 \leq x \leq 5
\]

Would you like more details or have any questions?

Here are some related questions for further exploration:
1. What is the range of this linear function based on the graph?
2. How do you find the slope of the line from the graph?
3. Can you write the equation of the line using two points on the graph?
4. What is the significance of the intercepts in a linear function?
5. How would the domain change if the line extended infinitely in both directions?

**Tip:** The domain of a function refers to all possible input values (x-values) for which the function is defined. For a graph, it's the horizontal extent of the line or curve.

What is the domain of the function? Write your answer as an equation like x = 5, as an inequality like y > 3, or as a compound inequality like 2 ≤ x < 4.

Learn how to find the domain of a linear function by analyzing the graph. This example shows a line segment from x = -10 to x = 5, explaining how to express the domain as an inequality. Suitable for students in Grades 7-9.

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