Question

What conditions must be met to ensure that a function has an absolute maximum value and an absolute minimum value on an interval?Choose the correct answer below.A. A critical point must occur on a closed interval on (a,b).B. The function must be continuous on a closed interval (a,b).C. The function must be continuous for some subinterval on [a,b].D. The function must be continuous on an open interval (a,b).

Answer 1

For a function to have an absolute value, a critical point must occur on a closed interval on (a,b).

A critical point is a point where the derivative of a function is 0. Maximum and minimum values occur at these critical points.

The right answer is A.