Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

g(x)=-x^2+4x+4

as you know, quadratics have either a min or a max, but not both.

Since this one has -x^2, it is a parabola which opens downward, and so has a max, which occurs at

x = -4/-2 = 2
g(2) = 8