Assume that y=f(x) is a continuous function and that the following are true: i. y' = 0 at x = 5 ii. y" = 0 at x = 3 and at x = 5 iii. y' > 0 for x 0 for x > 5 iv. y" 0 for x > 5 Which of the following is true? O f has a local minimum at x=3 Of has an inflection point at x=5 O f has a local minimum at x=5 O f has an inflection point at x=3Suppose we know the following information: f(2) =7, f'(2) =4 , f'(4) = -1 . If f' is continuous then which statement must be true? O f has an inflection point between x=2 and x=4 O f has an inflection point between x=-1 and x=4 O f has a local maximum between x=2 and x=4 Of has a local minimum between x=2 and x=4