Subjects algebra

Graph Domain 4Da6Ac

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1. **State the problem:** Determine the domain of the graph described, which starts at $x = -10$ with a solid point and ends near $x = 3$ with an open circle. 2. **Recall the domain definition:** The domain of a function is the set of all possible $x$-values for which the function is defined. 3. **Analyze the graph description:** - The graph starts at $x = -10$ with a solid point, meaning the function is defined at $x = -10$. - The graph ends near $x = 3$ with an open circle, meaning the function is not defined at $x = 3$. - The curve is continuous between these points. 4. **Write the domain:** Since the function is defined from $x = -10$ up to but not including $x = 3$, the domain is $$[-10, 3)$$ 5. **Explain:** The square bracket at $-10$ means the function includes $-10$, and the parenthesis at $3$ means it excludes $3$ because of the open circle. **Final answer:** The domain of the function is $$[-10, 3)$$.