Answer
(a)
Domain: $[-3,3]$
Range: $[-2,2]$
(b)
Increasing: $(-2,-1)$ and $(1,2)$
Decreasing: $(-3,-2)$, $(-1,1)$ and $(2,3)$
Work Step by Step
(a)
To estimate the domain, we look at the x-values that the function takes on in the graph. We can see that the x-values span from -3 to 3 and the endpoints are included. Thus the domain is: $[-3,3]$
To estimate the range, we look at y-values. The y-values span from -2 to 2, including endpoints. Thus the range is $[-2,2]$
(b)
We notice the x-values of where the function is increasing from left to right:
$(-2,-1)$ and $(1,2)$
Similarly, we notice where the function is decreasing:
$(-3,-2)$, $(-1,1)$ and $(2,3)$
Note that we do not include the end points, since the function is neither increasing nor decreasing at the peaks and troughs.