Find the local maxima and minima of each of the functions. Determine whether each function has absolute maxima and minima and find their coordinates. For each function, find the intervals on which it's increasing and the intervals on which it is decreasing. Show all your work.

1. y = x(1-x), xR

2. y = (x-1)³+1, xR

3. y = (2-x), -2 x 3

4. y= (x1), 1 x 2