Subjects algebra

Graph Domain 934E0E

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1. **State the problem:** Determine the domain of the given graph, which starts with an open circle near $x = -10$ and ends with a closed circle near $x = 9$. 2. **Recall 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 has an open circle at approximately $x = -10$, meaning the function is not defined at $x = -10$ but values just greater than $-10$ are included. - The graph ends with a closed circle at $x = 9$, meaning the function is defined at $x = 9$. 4. **Write the domain in interval notation:** Since the function is defined for all $x$ such that $-10 < x \leq 9$, the domain is $$(-10, 9]$$ 5. **Final answer:** The domain of the function is all real numbers $x$ with $-10 < x \leq 9$.