1. The problem asks to find the value of $y$ for $y = f(4)$ using the graph of the function $f$. 2. From the description, the graph is a cubic curve crossing the x-axis near $-5$, $0$, and $5$, with a local maximum near $(-3.5, 6)$ and a local minimum near $(2.5, -6)$. 3. To find $f(4)$, locate $x=4$ on the x-axis and find the corresponding $y$ value on the curve. 4. Since $4$ is between $2.5$ (local minimum) and $5$ (x-intercept), and the curve is rising from the minimum to the x-intercept, the $y$ value at $x=4$ is between $-6$ and $0$. 5. By estimating the graph, $f(4)$ is approximately $-2$. 6. Therefore, the nearest integer value for $y = f(4)$ is $-2$. Final answer: $$y = f(4) \approx -2$$