Abstract
Does there exist a family of functions \(f_{\alpha }:[0,1]\rightarrow \mathbb {R},\) \(\alpha \in \mathbb {R},\) such that the intersection of graphs of any two distinct functions from the family contains exactly 3 points, while the intersection of graphs of any three distinct functions contains exactly 2 points.
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Brayman, V., Kukush, A. (2017). 2010. In: Undergraduate Mathematics Competitions (1995–2016). Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-58673-1_16
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DOI: https://doi.org/10.1007/978-3-319-58673-1_16
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