Mathematics

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