MathDB
image f ([a, b]) is interval of length b - a.

Source: 15th -b QEDMO problem 4 (19. - 22. 10. 2017) https://artofproblemsolving.com/community/c1512515_qedmo_2005

May 30, 2021
functional equationfunctionalalgebra

Problem Statement

Find all functions f:R→Rf: R \to R for which the image f([a,b])f ([a, b]) for all real a≤ba \le b is (not necessarily closed!) interval of length b−ab - a.
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