(a) domain: $[-2,3]$, range $[-2,3]$ (b) increasing: $(0,1)$, decreasing: $(-2,0)$ and $(1,3)$
Work Step by Step
(a) The domain consists of the values that $x$ takes on and the range consists of values that $y$ takes on. We see from the graph that the domain is: $[-2, 3]$ and the range is: $[-2, 3]$. (b) We see from the graph that the function is increasing for $x$ interval $(0,1)$ and decreasing for $x$ intervals $(-2,0)$ and $(1,3)$.