Solve the problem below

8 . Let f" (x) = 3x2 - 4 and let f(x) have critical values at x = 0 and x = 2. Use the Second Derivative Test to determine which critical value gives a local minimum. 12 9. The function f (x) = 100- has f' (x) = =10(x-2) and f" (x) = 20(x-3) x4 a) Find the intercepts of f. b) Find the coordinates of the local maximum. c) Find the intervals where f is concave up and concave down. d) Given f has the x and y axis as asymptotes, sketch the function. 10 -10