Answer
Domain =[-4,5]
Range=[-2,4]
Work Step by Step
For problem 19 the graph shows us 4 points being connected by a curved line. This is important to remember because when points are connected we won't use set builder notation, instead, we will use interval notation.
The four points that are connected are, (-4,1) (-1,-2) (3,4) (5,2).
The four points are closed.
Since we are using interval notation we only have to list the points that are farthest to the left, and farthest to the right for our domain.
In this instance, our farthest point is -4 and 5.
Our domain is [-4,5].
These brackets signify that the domain is all points in between and including [-4,-5].
In order to find our range, we look at our lowest and highest points.
Our lowest point is -2, and our highest is 4.
Our range is [-2,4]
*Note: for interval notation you must list your numbers from lowest to highest while in set builder notation the order of the numbers listed does not matter.
