Multiple Choice: [12 Marks] 1. Considering the following graph of f(x). 2 -4 -2 -2 i. Circle the interval(s) where f *(x) is positive. a) (-infinity, 0), (2, 4) b) (-infinity, 1), (3, 4.5)i. Circle the interval(s) where f *(x) is positive. a) (-infinity, 0), (2, 4) b) (-infinity, 1), (3, 4.5) c) (1, 3), (4, 4.5) d) (3, 2), (2, 5) ii. Circle the interval(s) where f '(x) is negative. a) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6)iii. Circle the interval(s) where f "(x) is positive. a) (-infinity, 0), (2, 4) b) (-infinity, 1), (3, 4.5) c) (1, 3), (4, 4.5) d) (3, 2), (2, 5) iv. Circle the interval(s) where f *(x) is negative. a) (-infinity, -3), (4.5, 6) b) (0, 2). (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) v. Which x value(s) correspond to absolute maximums. a) 0 b) 4 c) 0 & 4 d) None vi. Which x value(s) correspond to local minimums. a) -infinity b) 2 c) 6 d) 2 & 6 2. At a local maximum point f *(x) = 0. a) always b) sometimes c) never 3. If f (x) =0, then the point (x, f(x)) is an extreme point. a) always b) sometimes c) never 4. If f '(x) = 0 and f"(x)