Subjects algebra

Domain Range 4F2D6C

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1. **Stating the problem:** We need to find the domain and range of the function $y = f(x)$ based on the given graph points and arrows. 2. **Understanding domain and range:** - The **domain** of a function is the set of all possible input values ($x$-values) for which the function is defined. - The **range** of a function is the set of all possible output values ($y$-values) that the function can take. 3. **Analyzing the graph:** - The graph has arrows at $x = -6$ and $x = 6$ pointing outward, indicating the function continues beyond these points. - The $x$-values shown range from $-6$ to $6$, and the arrows suggest the domain extends at least to these points. - Since the arrows point outward at $x = -6$ and $x = 6$, the domain is all real numbers between and including these points, i.e., $[-6,6]$. 4. **Domain:** - The domain is $[-6,6]$. 5. **Range:** - The highest $y$-value on the graph is $6$ (at points $(-6,6)$ and $(6,6)$). - The lowest $y$-value on the graph is $-5$ (at point $(0,-5)$). - The graph covers all $y$-values between $-5$ and $6$. 6. **Range:** - The range is $[-5,6]$. **Final answers:** - Domain: $[-6,6]$ - Range: $[-5,6]$