1. **State the problem:** We are given a function $f(x)$ and asked to find the values of $x$ for which $f(x) = 0$. 2. **Understand the problem:** The values of $x$ where $f(x) = 0$ are the $x$-intercepts of the graph of $f(x)$. 3. **Analyze the graph description:** The graph has $x$-intercepts at $x = -2$, $x = 1$ (where the curve just touches the axis), and $x = 3$. The curve is above the $x$-axis near $x \approx -6$ and rises sharply on the far right. 4. **Interpret the $x$-intercepts:** The $x$-intercepts are the points where the graph crosses or touches the $x$-axis, so these are the solutions to $f(x) = 0$. 5. **List the $x$ values where $f(x) = 0$:** These are $x = -2$, $x = 1$, and $x = 3$. 6. **Check if $x = -6$ is a root:** The graph is above the $x$-axis near $x \approx -6$, so $f(-6) \neq 0$. 7. **Final answer:** The values of $x$ for which $f(x) = 0$ are $-2$, $1$, and $3$. **Answer:** $-2$, $1$, or $3$ only.