DOMAIN:
Project the graph from both above the x-axis and from below the x-axis ONTO the
x-axis to find the domain. That's the union of the two blue intervals on the
x-axis below. We include 0 and 6, so we put "]" after them. We don't include 3
or negative infinity, so we put "(" before them.
So the domain is
RANGE:
Project the graph from both the left of the y-axis and from the right of the
y-axis ONTO the y-axis to find the range. Notice that the horizontal line
segment at the bottom right of the graph projects only onto the single point at
-8 on the y-axis. So we just put braces around it like this {-8}. Then we take
the union of the set containing that single number and the blue interval on the
y-axis from -2 to infinity. We include -2, so we put "[" before it. But we don't
include infinity, so we put ")" after it.
So the range is
Edwin
