The Extreme Value Theorem states that if a function is continuous on a closed interval, then it must have both a maximum value and a minimum value on that interval.
Related terms
Critical Points: These are points on a function where the derivative is either zero or undefined.
Absolute Extrema: These are the highest and lowest values of a function over its entire domain.
Closed Interval Method: This method involves evaluating the function at its critical points and endpoints to find local extrema.