(1 point) The derivative of f(x) is given by f' (x) = (x - 8)2(x + 9)2. Find the critical points and local extrema of f, and the open intervals on which f is increasing and decreasing. Critical points of f(x) are (If there is more than one critical point, enter a comma-separated list. If there are no critical points, enter "none".) f(x) is increasing on f(x) is decreasing on (Enter your answers using interval notation.) f (x) has local maxima at f (x) has local minima at (If there is more than one extremum of a given type, enter a comma-separated list. If there are no extrema of a given type, enter "none".)