Turn monotone increasing function to continuous function
112404
Eliminating discontinuities for increasing function
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
158309
Find a function that is continuous only on rationals
96273
Is a continuous function $ f\colon(0,\infty)\to R$, such that $f(x)\leq f(nx)$ increasing?
2142
Finding a set of continuous functions with a certain property 2
100187
Show function is continuous at origin
148931
Constructing a function that is continuous and has a max on an open interval, but is not necessarily increasing immediately to the left of the max.
64487
Continuous function and dense set
17234
Show that a continuous function has a fixed point
126842
Fixed point in a continuous function
120947
continuous real-valued function
140929
Increasing, continuous function implies connectivity and viceversa.
12240
Problem with a continuous function
109942
Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
24749
Monotone functions and Borel sets
88240
Two functions discontinuous, but sum continuous
128911
Continuous extension of a real function