Extreme value theorem
7:58
Khan AcademySal Khan
Extreme value theorem
The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. This makes sense: when a function is continuous you can draw its graph without lifting the pencil, so you must hit a high point and a low point on that interval.
Jan 20, 2014
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