Strictly increasing function $f$ such that $f(S)$ is connected.
48764
Increasing real valued function whose image set is connected
112211
Show an increasing function f from omega_1 to R is eventually constant
58816
Existence of a continuous function which does not achieve a maximum.
150699
Show that if $f'$ is strictly increasing, then $\frac{f(x)}{x}$ is increasing over $(0,\infty)$
25563
Count number of increasing functions, nondecreasing functions $f: \{1, 2, 3, \ldots, n\} \to \{1, 2, 3, \ldots, m\}$, with $m \geq n$.
104257
$C^1$ functions on an open connected set and local Lipschitz continuity
144383
The closure of a connected set in a topological space is connected
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
31266
Proof of "the continuous image of a connected set is connected"
131992
A problem on continuous functions
15487
Continuous function from a connected set?
80210
It is posible to have a function $f$ with the following property?
151923
$F$ closed and connected then...
16418
Showing that $\frac{f(x)-f(x-h)}{h} \le f'(x) \le \frac{f(x+h)-f(x)}{h}$ given that f' is increasing
146364
$X$ is connected iff $\forall A\subset X,$ $\partial A\neq\emptyset$
145265
A non-zero function satisfying $g(x+y) = g(x)g(y)$ must be positive everywhere
152784
$f \in {\mathscr R[a,b]} \implies f $ has infinitely many points of continuity.