Which theorem guarantees that

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Which theorem guarantees that, if a function

f

is continuous on

[a,b]

and

N

is any number between

f(a)

and

f(b)

, then there exists

c

(a,b)

with

f(c)=N

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