Extreme values from graphs

The  exercise appears under the Differential calculus Math Mission. This exercise explores the relationship between local and absolute extrema.

Types of Problems
There is one type of problem in this exercise:


 * 1) Determine and classify the extrema: This problem provides a function and several requests based on the function. The student is expected to answer a selection of questions based on the information provided in the graph.Evfg1.png

Strategies
Knowledge of extrema and interpretation of graphs are encouraged to ensure success on this exercise.
 * 1) The relative, or local, extrema occur at critical points when a function has a derivative that is zero or undefined.
 * 2) The absolute, or global, extrema occur either at critical points or on the endpoints of an interval.
 * 3) An absolute, or global, extreme has to be over the entire interval, where as a local, or relative, extreme only needs to be over a short interval.

Real-life Applications

 * 1) Most of the problems in this subsection are applications in some sense, so the majority of the exercises are applications also.