__Question:__
(1 pt) Let

on the interval

. Find the absolute maximum and absolute minimum of

on this interval.

The absolute max occurs at

?

The absolute min occurs at

?

The absolute max is supposedly x = -1 and I do not know what the absolute min is. I use the two "edges" of the constraint and since when I solved for x I already got what the "edges" of the constraint then I determined the two "edges" to be the values to optimize with but I just do not understand what is going on. In addition, my calculator says (-1)^(2/3) does not exist but algebraically, I determined it to be = 1; who's right. me or the calculator? (My work is attached)

Any help would be greatly appreciated!

Thanks in advance!