Let and be continuous on the closed interval with

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

Problem

Let

f

and

g

be continuous on the closed interval

[a,b]

with

f(a)<g(a)

and

f(b)>g(b)

. Which theorem ensures that there is at least one number

c

(a,b)

such that

f(c)=g(c)

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