F(x) = (3x^4) - (4x^3) + (6x^2) - 12x - 8 interval[-2,2]
find absolute extrema of f(x)
Absolute extrema are nothing more than the largest/smallest values the function takes on a certain domain. There are two possibilities: these values lie at the edge of the domain of interest, or there is a minimum/maximum within it.
1) Find f(-2) and f(2).
2) Find f'(x)=0 and solve for x= a,b,c,d Then find f(a), f(b), f(c), f(d).
The answer is the greatest and least of these.