Answer
The absolute maximum is located: $(3;3)$
The absolute minimum is located: $(-3;-1)$
The relative maximum is located: $(-2,2)$ (also a singular point)
The relative minimum is located: $(1,0)$ (also a singular point)
Work Step by Step
We can locate all the extrema by looking at the graph:
a relative extremum can be identified if there exists an interval where the point is the maximum or minimum.
An absolute extremum can be identified if on the whole interval the point is the maximum or minimum.
The stationary point is where the function stops increasing or decreasing.
The singular point is where the function is not continuous.
The absolute maximum is located: $(3;3)$
The absolute minimum is located: $(-3;-1)$
The relative maximum is located: $(-2,2)$ (also a singular point)
The relative minimum is located: $(1,0)$ (also a singular point)
