Given the following function, its ocrivative, and it's second derivative answer the following questions, f ( x ) = 8x(x- 2)3 ( x ) = 16 (2x-1) (x - 2) 2 f" (x)= 96 (x- 1) (x-2) a. Find the open intervals on which is increasing and decreasing * The critical It's for f( x) are x = 1/2 and X= 2. b. Find the open intervals on which is concaveupward and concave downward . * The possible points of inlection for f ( x ) are X= 1 and x= 2. Cuse the first derivative to test to find all relative extrema of f ( x )