Find all multiplicative continuous functions on $(0,\infty)$
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
130636
A result of Erdős on increasing multiplicative functions
88240
Two functions discontinuous, but sum continuous
132223
Function whose image of every open interval is $(-\infty,\infty)$
5419
Continuous functions with $f^2(x)=g^2(x)\neq 0$
9320
Extension of continuous function on a closed subset of $\mathbb{R}$
47498
Integration and theorems on continuous functions
28191
How to show that a set of discontinuous points of an increasing function is at most countable
113450
Construction of a function which is not the pointwise limit of a sequence of continuous functions
115878
Continuous unbounded but integrable functions
86698
Every uniformly continuous real function has at most linear growth at infinity
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
79490
Proving the set of points at which a function diverges to $\infty$ is countable
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
87239
Prove functions defined by sup and inf are continuous
131992
A problem on continuous functions
137883
Cardinality of the set of all (real) discontinuous functions