Answer
a) Domain: All real numbers, except $x= -5, x= 7$
b) $f(0) = 0$
c) $x= -4.5$ and $x= 7.5$
Work Step by Step
a) The function in the plot is undefined for $x=-5$ and $x= 7$. Hence, the domain is: \begin{equation}
\begin{aligned}
\text{Domain: All real numbers, except}&\ \ x= -5,\quad x= 7 \\
\end{aligned}
\end{equation} b) We see that $f(0) = 0$.
c) The graph shows that $f(x)=6$ when $x= -4.5$ and when $x= 7.5$.