Question 1001594
2nd Derivative Test: if f '' (x) is negative on some interval, then the region on f(x) is concave DOWN (not up). So we have a max on this interval. That means a local max is at x = 0.


I think you meant to say (-1,1) instead of (-1,7)


Summary:
Local Max = (0,6)
Local Min = none
Absolute Max = (0,6) 
Absolute Min = (-1,1)