Difference between interpolation method - give me some function

Question

What are some functions that gives vastly different results when interpolated with spline, in comparison to linear or to polynomial interpolation? For example i tried with sigmoid and bump function, both gives almost same results, no matter which interpolating method i use

Answer 1

i tried with function sugested above: $$ f(x) = ln(-ln(x)) $$ But there is not much difference between interpolation methods,as you can see there is only difference and the ends of domain. gnuplot comparison of interpolation methods

Arent there any functions that have more visible difference?