Answer
(a)
Domain: $[-1,4]$
Range: $[-1,3]$
(b)
Increasing: $(-1,1)$, $(2,4)$
Decreasing: $(1,2)$
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 -1 to 4 and the endpoints are included. Thus the domain is: $[-1,4]$
To estimate the range, we look at y-values. The y-values span from -1 to 3, including endpoints. Thus the range is $[-1,3]$
(b)
We notice the x-values of where the function is increasing from left to right:
$(-1,1)$, $(2,4)$
Similarly, we notice where the function is decreasing:
$(1,2)$
Note that we do not include the end points, since the function is neither increasing nor decreasing at the peaks and troughs.
