Does there exists a non-decreasing function which is also nowhere continuous?
28191
How to show that a set of discontinuous points of an increasing function is at most countable
15690
Is a function defined at a single point continuous?
146929
smooth functions or continuous
139763
A function takes every function value twice - proof it is not continuous
40070
Is there a real-valued function $f$ such that $f(f(x)) = -x$?
30036
Function in $H^1$, but not continuous
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
156839
Functions Which are non differentiable on a Given Set.
147516
Continuous function whose right hand derivative equals 0 is constant?
29647
Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
109666
Example where partial derivatives commute but are not continuous.
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
109732
Nowhere continuous function limit
24306
Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?
79107
Give an example of a function $f: \mathbb{R} \to \mathbb{R}$ which is continuous only at $0$.
4679
Nonpiecewise Function Defined at a Point but Not Continuous There