Answer
The absolute maximum is at the point $x = 2$
The absolute minimum is at the point $x = 5$
4 is a critical number, but there is no local maximum or a local minimum at the point $x=4$.
Work Step by Step
We can see the following points on the graph:
The absolute maximum is at the point $x = 2$
The absolute minimum is at the point $x = 5$
4 is a critical number, but there is no local maximum or a local minimum at the point $x=4$. We can see that the slope is zero at the point $x=4$