MATH 019 Lecture Notes - Lecture 15: Maxima And Minima

• School: University of Vermont
• Department: Mathematics
• Course: MATH 019
• Professor: Krisan Geary

Document Summary

Absolute maximum : the highest y value of a function. Absolute minimum the lowest value of a function y. Closed interval be absolute maxima on a fcx ) y. The absolute maximum is y =3 , and it occurs at x - a . Extremely if we look at a closed interval. C a. a continuous function f will have both an absolute maximum and an absolute minimum in the interval. I absolute min will occur at either a critical number or an endpoint. Izx on each of the following intervals: c- 5,5 ] # s check to make f" cx ) - Step 2 : plug endpoints :3 critical s into. :::::t:m::::. %:::::s::x tnn ik i: c- 3,3 ] i. It -2 was a critical but its not in c- 3. Find the absolute maxi ? absolute min of fcx. )=ez - lix on c- 5,5 ] . l f" c x ) : 2e2 -