Answer
$f(0)=2$
Work Step by Step
Normally, by tracing the graph, we would not get a value for $f(0)$, as the limit of $\lim\limits_{x \to \ 0}f(x)$ does not exist.
However, the point of $f(0)$ is defined by the blue dot on the graph, on the x-axis.
Therefore, according to the graph, the value of $f(0)=2$