Which theorem ensures that a function that is continuous on a closed interval attains…

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

Problem

Which theorem ensures that a function that is continuous on a closed interval

[a,b]

attains both an absolute maximum and an absolute minimum on that interval? (a)

\text{Intermediate Value Theorem}

(b)

\text{Mean Value Theorem}

(c)

\text{Extreme Value Theorem}

(d)

\text{Fundamental Theorem of Calculus}