Suppose f is continuous on a If f 1 0 and f 1 1 what can you say about f At x 1 f has a local maximum At x 1 f has a local minimum At x 1 f has neither a maximum nor a minimum 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 At x 3 f has a local maximum At x 3 f has a local minimum At x 3 f has neither a maximum nor a minimum More information is needed to determine if f has a maximum or minimum at x 3