In Problems 1-3, sketch a graph of a function with the given properties. If it is impossible to graph such a function, then indicate this and justify your answer.
1. f is differentiable, has domain [0, 6], and has two local maxima and two local minima on (0,6).
2. f is differentiable, has domain [0, 6], and has three local maxima and two local minima on (0,6).
3. f is continuous. but not necessarily differentiable, has do-main [0, 6], and has one local minimum and one local maximum on (0,6).