Find the absolute maximum and the the absolute minimum.

Question

f(x)=1/9(7x+8), [-9,-5]

find the absolute maximum and the absolute minimum.

Answer 1

Hi Lexi,

There's a straightforward procedure for finding the maximum and minimum values of a continuous function on a closed interval.

First find any critical points of the function in the interval. These are places where the derivative is equal to 0 or is undefined.

Evaluate the function at each critical point in the interval and at the 2 endpoints of the interval. The largest of these values is the maximum value, and the smallest is the minimum.