Answer
a) $4$
b) $f(3)=0$.
c) $2$
d) $f(2)=1$ and $f(4)=1$
Work Step by Step
a) $f(0)$ is the value of the function at $x=0$, which is $4$, hence $f(0)=4$.
b) $f(x)=0$ if the value of the function is $0$ at $x$. According to the table, the value of the function is $0$ at $x=3$, hence $f(3)=0$.
c) $f(1)$ is the value of the function at $x=1$, which is $2$, hence $f(1)=2$.
d) $f(x)=1$ if the value of the function is $1$ at $x$. According to the table, the value of the function is $1$ at $x=2$ and $x=4$, hence $f(2)=1$ and $f(4)=1$.