(a) domain: $[-2,2]$, range: $[-2,2]$ (b) increasing: $(-1,1)$, decreasing: $(-2,-1)$ and $(1,2)$
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: $[-2, 2]$ and the range is: $[-2, 2]$. (b) We see from the graph that the function is increasing for $x$ interval $(-1,1)$ and decreasing for $x$ intervals $(-2,-1)$ and $(1,2)$.