Subjects algebra

Domain Range Graph 81Eb54

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Domain Range Graph 81Eb54


1. **Problem:** Write the domain and range for the function shown on the graph (Graph 1). 2. **Understanding domain and range:** - The **domain** is the set of all possible input values ($x$-values) for the function. - The **range** is the set of all possible output values ($y$-values). 3. **Analyzing the graph:** - The graph starts near $x = -6$ with $y \approx 2$ and moves downward crossing the $x$-axis at about $(2,0)$. - As $x$ increases beyond 2, the graph approaches $y=0$ but never goes below it. 4. **Domain:** - The graph is defined from $x = -6$ to $x = \infty$ (since it continues to the right). - So, domain is $$[-6, \infty)$$. 5. **Range:** - The highest $y$-value is about 2 at $x = -6$. - The lowest $y$-value approaches 0 but does not go below. - So, range is $$[0, 2]$$. **Final answer:** - Domain: $$[-6, \infty)$$ - Range: $$[0, 2]$$