2. [11pts] Given, f(x) =- (x+1)3 f'(x) = (x+1)(x-5) 24(x+1 ) (x-1)2 ; (x-1)3 f" (x ) = (x-1)4 (a) [3] State the domain, intercept(s), and the equation of any vertical asymptotes of f (x) (b) [4] Using the chart analysis as done in this class (no other method is acceptable), find the intervals of increase and decrease of f (x) and find the local maximum and minimum value(s) of f (x). You'll find the sample chart below useful