ABSTRACT
This chapter is devoted to some elementary properties of monotone functions acting from R into R, and to some widely known examples of strange monotone functions. Let
f : R→ R be a partial function. We recall that f is said to be increasing (respectively, strictly increasing) if, for any two points x ∈ dom(f) and y ∈ dom(f), the relation x ≤ y (respectively, x < y) implies the relation f(x) ≤ f(y) (respectively, f(x) < f(y)).
