1. The problem asks to find the value of $y$ for $y = f(1)$ using the graph of the function $f$. 2. From the description, the graph has a local maximum near $y=5$ at $x=0$, a local minimum near $y=-6$ at $x=2$, and the curve rises again after $x=2$. 3. To find $f(1)$, locate $x=1$ on the graph and find the corresponding $y$ value on the curve. 4. Since $x=1$ is between $0$ and $2$, and the curve falls from about $5$ at $x=0$ to about $-6$ at $x=2$, the value at $x=1$ should be between these two values, closer to the minimum. 5. By estimating from the graph, $f(1)$ is approximately $-3$. 6. Therefore, the nearest integer value for $y = f(1)$ is $-3$. Final answer: $$y = f(1) \approx -3$$