Answer
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Work Step by Step
a. $f(0)=0,$ $f(6)=0$
b. $f(2)=-2,$ $f(-2)=1$
c. $f(3)$ is negative and it is around -1
d. $f(-1)$ is positive and it is around 0.5
e. $f(x)=0$ for $x \in \{0, 4, 6 \}$
f. $f(x)\lt 0$ for $0\lt x\lt 4$
g. Domain of $f(x)$ is $-4\leq x \leq 6$
h. Range of $f(x)$ is $-2\leq f(x) \leq 3$
i. $x \in \{0, 4, 6 \}$
j. $f(x)=0$
k. the line $y=\frac{1}{2}$ intersect the graph 2 times.
l. the line $x=1$ intersect the graph 1 time
m. $f(x)=3$ for $x =5$
n. $f(x)=-2$ for $x=2$