Answer
a. increasing in $(0,2)$
b. decreasing in $(-3,0)$
c. local maximum of $y=1$ at $x=-3$, absolute maximum of $y=3$ at $x=2$.
Work Step by Step
a. From the graph of the function, we can identify that it is increasing on the open interval $(0,2)$.
b. From the graph of the function, we can identify that it is decreasing on the open interval $(-3,0)$.
c. From the graph of the function, we can identify a local maximum of $y=1$ at $x=-3$, and an absolute maximum of $y=3$ at $x=2$. Points $(0,-1)$ and $(0,-2)$ are not in the domain of the function.
