For each part, sketch the graph of a function that satisfies all conditions.

1. Local maximum at 1 and differentiable at 1.
2. Local maximum at 1 and continuous at 1, but not differentiable at 1.
3. Local maximum at 1, but not continuous at 1!

1. For each part, sketch the graph of a function that satisfies all conditions.
   1. Domain is [-1,1], has an absolute maximum, but no local maximum.
   2. Domain is [-1,1], has a local maximum, but no absolute maximum.

1. For each part, sketch the graph of a function that satisfies all conditions.
   1. Domain is [0,5], has no absolute max or absolute min.
   2. Domain is [0,5], has no local max or local min, but 2 and 4 are critical numbers.