Welcome guest
You're not logged in.
249 users online, thereof 0 logged in

Theorem: Intermediate Value Theorem

Let \([a,b]\) be a closed real interval and let \(f:[a,b]\to\mathbb R\) be a continuous real function. Then \(f\) takes any value between \(f(a)\) and \(f(b)\), i.e. for each \(u\in [f(a),f(b)]\) there is at least one \(c\in[a,b]\) with \(f( c)=u\).

(Public Domain, image uploaded by Kpengboy)

| | | | | created: 2015-05-10 19:57:52 | modified: 2015-05-10 21:05:08 | by: bookofproofs | references: [581]

1.Proof: (related to "Intermediate Value Theorem")

Edit or AddNotationAxiomatic Method

This work was contributed under CC BY-SA 4.0 by:

This work is a derivative of:


Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983