Ximpledu

Intermediate Value Theorem

See how to use the intermediate value theorem.
1 example and its solution.

Intermediate Value Theorem

Theorem


If y = f(x) is continuous in interval [a, b]
and
if f(a) ≠ f(b),

then x = c exists that satisfies f(c) = k.
(k is between f(a) and f(b).)

Example

Show that the zero of f(x) exists in (1, 2).

f(x) = x3 - 2x - 1
Solution