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--- pow:problem2s23 [2023/02/26 04:50] – mazur
+++ pow:problem2s23 [2023/02/26 04:51] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 2 (due Monday, February 20)>
+Find all positive integers $n$ which have the following property:
+there is a continuous
+function $f:\mathbb R\longrightarrow \mathbb R$ such that for every
+real number $t$ the equation $f(x)=t$ has either no solutions or exactly
+$n$ different solutions.
+</box>
+We have not received any solutions. The positive integers in question are exactly all
+odd natural numbers. For a detailed solution see the following link {{:pow:2023sproblem2.pdf|Solution}}.