Can a function have uncountably many jump discontinuities?
18511
Can we construct a function that has uncountable many jump discontinuities?
4679
Nonpiecewise Function Defined at a Point but Not Continuous There
157500
Are continuous functions monotonic for very small ranges?
100436
Examples of nowhere continuous functions
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
101230
Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?
58816
Existence of a continuous function which does not achieve a maximum.
16291
Discontinuous derivative.
76396
Nowhere monotonic continuous function
150833
Discontinuities of the derivative of a differentiable function on closed interval
109732
Nowhere continuous function limit
55924
How many distinct functions can be defined from set A to B?
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
76009
Can a continuous function from the reals to the reals assume each value an even number of times?
78687
Integral with a discontinuity point
112404
Eliminating discontinuities for increasing function