Find the critical value(s) of the function by setting the first derivative equal to zero and solving for the x value(s).
Plug in the x=1 and the endpoints of the given interval into the original f(x) function. The x=-1 will not be used because it is not in the given interval
Examine the f(x) values to determine the absolute maximum and absolute minimum.
The absolute maximum occurs at the coordinate (0.2, 5.2).
The absolute minimum occurs at the coordinate (1, 2).