MathDB
Romania District Olympiad 2001 - Grade XI

Source:

March 16, 2011
functionreal analysisreal analysis unsolved

Problem Statement

Let f:R→Rf:\mathbb{R}\to \mathbb{R} a function which transforms any closed bounded interval in a closed bounded interval and any open bounded interval in an open bounded interval.
Prove that ff is continuous.
Mihai Piticari