The minimum and maximum of which of the following functions does not occur at a critical point in the open interval:

Question

Quizplus · Accepted Answer

The minimum and maximum of a continuous function on a closed interval will always occur at either a critical point or an endpoint. Therefore, the fact that the minimum and maximum of function C do not occur at a critical point in the open interval suggests they occur at the endpoints. In contrast, for the other options it is possible that the minimum or maximum occurs at a critical point within the open interval.

The Minimum and Maximum of Which of the Following Functions