2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64866We study the number of real rational degree n functions (considered up to linear fractional transformations of the independent variable) with a given set of 2n-2 distinct real critical values. We present a combinatorial reformulation of this number and pose several related questions.12 pages (AMSTEX), 3 picturesAlgebraic GeometryCombinatoricsCounting real rational functions with all real critical valuestext