Subjects algebra

Domain Range 6F37Fb

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Domain Range 6F37Fb


1. **Problem:** Identify the domain and range of the given graphs based on the descriptions. 2. **Understanding Domain and Range:** - The **domain** of a graph is the set of all possible x-values for which the graph exists. - The **range** of a graph is the set of all possible y-values that the graph attains. 3. **Given Graph Descriptions:** - For the sideways parabola opening to the right with vertex on the y-axis: - The graph extends horizontally from $x=0$ to $x=9$. - Vertically, it extends from $y=-7$ to $y=7$. 4. **Domain:** Since the graph starts at $x=0$ and goes to $x=9$, the domain is: $$0 \leq x \leq 9$$ 5. **Range:** Since the graph extends vertically from $y=-7$ to $y=7$, the range is: $$-7 \leq y \leq 7$$ **Final answer:** - Domain: $0 \leq x \leq 9$ - Range: $-7 \leq y \leq 7$