Intermediate Value Theorem
Let
f
be a
continuous function
on [a,b], and let s be any number between
f
(a) and
f
(b). That is either
f
(a) <= s <=
f
(b) or
f
(b) >= s >=
f
(b). Then there exist a point c in [a,b] so that
f
(c) = s.