After completing this section, you should be able to do the following.
- Define absolute maximum and absolute minimum.
- Find the absolute maximum and minimum using a graph.
- Define relative maximum and relative minimum.
- Find relative maxima and minima using a graph.
- Compare and contrast relative and absolute maxima and minima.
- Given a graph without an absolute maximum or minimum, explain why the graph has no absolute maximum or minimum.
- Given a graph without any extrema, explain why the graph has no extrema.
- Identify situations in which a continuous function is guaranteed to have both an absolute maximum and minimum.