Let f be a function such that f : U ⊆ R n → R...
Let be a function such that . is open in and path connected and is continuous. Let . Proof that for all there exists an such that . I'm supposed to use one-dimensional intermediate value theorem to proof this. There is a hint stating that I should look out for a function such that we use a "useful" composition of and . I really don't know how to do this proof I would appreciate help a lot!