SAT Question d45572cc: Nonlinear Functions answer and explanation with Desmos solution

The value of $f(0)$ is the value of $y$ on the graph of $y=f(x)$ in the xy-plane that corresponds with $x=0$. It's given that the value of $f(0)$ is an integer. For the graph of $y=f(x)$ shown, when $x=0$, the corresponding integer value of $y$ is $3$. Therefore, the value of $f(0)$ is $3$.