This lesson on finding the absolute extrema of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus.
• Find absolute extrema using Maximum-Minimum Principle 1.
• Find absolute extrema using Maximum-Minimum Principle 2.
THEOREM : The Extreme Value Theorem
A continuous function f(x) defined over a closed interval [a, b] must have an absolute maximum value and an absolute minimum value over [a, b].
The highest value of y in the interval [a, b] is called the absolute maximum and the lowest y value in the interval is called the absolute minimum.