For the given graph:
the domain is (0, 4]
the range is [-4, 1)
How to find the domain and range?
First remember that:
- Closed circle: means that the value belongs.
- Open circle: means that the value does not belong.
The domain is the set of possible inputs, so we need to look at the horizontal axis.
The leftmost value is at x = 0, with an open circle.
The rightmost value is at x = 4, with a closed circle.
So the domain is (0, 4]
For the range we look at the vertical axis.
The lowest value is at y = -4, with a closed circle.
The uper value is at y = 1, with an open circle,
Then the range is [-4, 1)