Subjects algebra

Function Roots

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1. **Problem Statement:** Find the roots of the function based on the given graph description. 2. **Understanding Roots:** Roots of a function are the values of $x$ where the function crosses the $x$-axis, i.e., where $y=0$. 3. **Analyzing the Graph Description:** - The curve dips below the $x$-axis near $x = -2$, so it crosses the $x$-axis around $x = -2$. - It rises to a peak above $y=20$ near $x=0$, so it does not cross the $x$-axis at $x=0$. - It dips slightly near $x=2$, indicating it crosses the $x$-axis near $x=2$. - It rises sharply after $x=2$, so no further roots beyond $x=2$. 4. **Conclusion:** The roots of the function are approximately at $x = -2$ and $x = 2$ where the curve crosses the $x$-axis. **Final answer:** The roots are $x = -2$ and $x = 2$.