MathDB
An irrational, strictly-increasing, real-valued function

Source: MIPT Undergraduate Competition 2019 1.2

August 17, 2020
functionreal analysis

Problem Statement

Does there exist a strictly increasing function f:Rā†’Rf: \mathbb{R} \rightarrow \mathbb{R} that takes on only irrational values?
Back to ProblemsView on AoPS