II. III. Use the graph to determine the absolute extrema of the function and where the extrema occur. Does this function have critical numbers? If so, how many on the closed interval [a, b]? MCC@WCCUSD (HUSD), 2012. y a f(x) b Research five examples of the use of extreme value theorem in real life. Write your answers on a separate sheet of paper. Scoring Rubric: Two points will be given for every correct example. Find out what you have learned in this lesson by answering the questions below on a separate sheet of paper. 1. Describe an optimization problem. 2. How can we solve optimization problems? 3. Mention past topics in mathematics that you applied on the last activity to solve optimization problems.