The Extreme Value Theorem can be applied only when certain hypotheses are met
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
The Extreme Value Theorem can be applied only when certain hypotheses are met. Which of the following conditions is REQUIRED for the theorem to guarantee both an absolute maximum and an absolute minimum for a function f on an interval I?
(a) f is differentiable on I.
(b) I is closed and f is continuous on I.
(c) f is bounded on I.
(d) I is open and f is continuous on I.