1. **Problem Statement:** We are given a function $f(x)$ defined on the interval $[-9,9]$ with a graph showing points and curves. We need to find the $x$-value(s) where the global maximum of $f(x)$ occurs. 2. **Understanding Global Maximum:** The global maximum of a function on a closed interval is the highest $y$-value the function attains on that interval. It can occur at critical points or endpoints. 3. **Given Points:** The graph passes through these points: - $(-9, -4)$ - $(-7, 5)$ - $(-4, -5)$ - $(0, -2)$ - $(4, -6)$ 4. **Analyzing the Values:** Among these points, the highest $y$-value is $5$ at $x = -7$. 5. **Checking for Other Possible Maxima:** The graph rises steeply to $(-7,5)$ and then descends sharply afterward, so no other point has a higher $y$-value. 6. **Conclusion:** The global maximum value of $f(x)$ is $5$, and it occurs at $x = -7$. **Final answer:** The global maximum occurs at $x = -7$.