Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval, and indicate the x-values at which they occur.
f(x) = x
3 -
x
2 - 2x + 5; [0, 2]
◦ Absolute maximum = 4.0 at x = 0; absolute minimum = 3.5 at x = 2
◦ Absolute maximum = 5 at x = 2; absolute minimum = 3.5 at x = 1
◦ Absolute maximum = 7 at x = 0; absolute minimum = 4.0 at x = 1
◦ Absolute maximum = 7 at x = 2; absolute minimum = 3.5 at x = 1