Subjects algebra

Graph Range C1E430

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Question: Determine the range of the following graph: Graph: a single smooth curve in the center of the page with solid endpoints at $(-10, 8)$ and $(2, -6)$; the curve reaches a highest value of $y = 8$ and a lowest value of $y = -6$, so the range is $[-6, 8]$.
1. **State the problem:** We need to determine the range of the graph described. 2. **Recall the definition of range:** The range of a function is the set of all possible output values ($y$-values). 3. **Analyze the graph details:** The graph has solid endpoints at $(-10, 8)$ and $(2, -6)$. 4. **Identify the highest and lowest points:** The highest value of $y$ on the graph is $8$ and the lowest value is $-6$. 5. **Conclude the range:** Since the graph covers all $y$-values between $-6$ and $8$ inclusive, the range is $$[-6, 8].$$