1. **Problem Statement:** Find the roots and factored form of the function $f(x)$ given its roots and graph description. 2. **Roots of $f(x)$:** The roots are the values of $x$ where $f(x) = 0$. From the graph and given information, the roots are $-2$, $0$, and $2$. 3. **Multiplicity of roots:** Each root appears once since the graph crosses the x-axis at these points, indicating multiplicity 1 for each root. 4. **Factored form:** The factored form of a polynomial with roots $r_1, r_2, r_3$ is $$f(x) = a(x - r_1)(x - r_2)(x - r_3)$$ where $a$ is the leading coefficient. Given the roots $-2, 0, 2$, the factors are $(x + 2)$, $x$, and $(x - 2)$. 5. **Final factored form:** Assuming $a=1$ (standard cubic), $$f(x) = (x + 2)(x)(x - 2)$$ **Answer:** - Roots: $-2, 0, 2$ - Factored form: $f(x) = (x + 2)(x)(x - 2)$