Which of the following statements guarantees that a continuous function attains both…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Which of the following statements guarantees that a continuous function attains both an absolute maximum and an absolute minimum on a closed interval

[a,b]

? (a) Mean Value Theorem (b) Extreme Value Theorem (c) Intermediate Value Theorem (d) Rolle’s Theorem