7. (15 points) Truc or False. Explain! Assume the graphs of f'(x) and y'(x) do not extend to infinities. f' ( x) g'(x) 2 -2 -1 1 2 4 6 -2- 6 -4 -2 0 IN- -4 -6 -4 -8 -6- - 10- (a) g(x) is a monotonically decreasing function. (b) f(x) has no local minimum. (c) g" (2) is never zero