Suppose f" is continuous on (-co, co). (a) If f '(1) = 0 and f "(1) = 3, what can you say about f? O At x = 1, f has a local maximum. O At x = 1, f has a local minimum. O At x = 1, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 1. (b) If f '(3) = 0 and f "(3) = 0, what can you say about f? O At x = 3, f has a local maximum. O At x = 3, f has a local minimum. O At x = 3, f has neither a maximum nor a minimum. O More information is needed to determine if f has a maximum or minimum at x = 3