The Extreme Value Theorem guarantees both a minimum and a maximum value for a continuous function on a closed interval, but it doesn't tell us how to find them. To accomplish such a noble task, we turn to the Closed Interval Test. Duration: 9:13

Example 6 once again puts the Closed Interval Test, otherwise known as the Candidates Test, into practice. Duration: 9:27

Now it's time for some independent practice. On Example 7, use the Closed Interval Test to find the absolute minimum and maximum of f(x)=2sinx−cos2x on [0,π].