Answer
The absolute maximum is at the point $x = 4$
The absolute minimum is at the point $x = 5$
There is a local maximum at the point $x = 2$
There is a local minimum at the point $x = 3$
Work Step by Step
We can see the following points on the graph:
The absolute maximum is at the point $x = 4$
The absolute minimum is at the point $x = 5$
There is a local maximum at the point $x = 2$
There is a local minimum at the point $x = 3$