How do you find the absolute maximum and minimum values of a function that is continuous on a closed interval?

Solution: Step1 Every function that’s continuous on a closed interval has an absolute maximum value and an absolute minimum value in that interval — in other words, a highest and lowest point . Step2 Finding the absolute max and min is compute the critical numbers of the function in the given interval, determine the height of the function at each critical number, and then figure the height of the function at the two endpoints of the interval. The greatest of this set of heights is the absolute max; and the least, of course, is the absolute min.