Number of discontuinity Two to one functions from $\mathbb{R}$ to $\mathbb{R}$
7358
For each $y \in \mathbb{R}$ either no $x$ with $f(x) = y$ or two such values of $x$. Show that $f$ is discontinuous.
109764
Find the cardinality of the quotient of $\mathbb R$ in respect to R
64583
Number of surjective functions from A to B
61
Calculating the total number of surjective functions
17348
Number of non-decreasing functions?
137883
Cardinality of the set of all (real) discontinuous functions
6788
Let $(a,b)$ and $(c,d)$ be intervals in $\Bbb R$, and find an injective and surjective function from $(a,b)$ to $(c,d)$
28191
How to show that a set of discontinuous points of an increasing function is at most countable
19916
$f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$
120235
Clarification of the notation $f: \mathbb{R} \setminus\{3\} \to\mathbb{R}\setminus\{2\}$
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
20688
Discontinuous functions with closed graphs
25563
Count number of increasing functions, nondecreasing functions $f: \{1, 2, 3, \ldots, n\} \to \{1, 2, 3, \ldots, m\}$, with $m \geq n$.
2142
Finding a set of continuous functions with a certain property 2
73850
Cardinality of set of functions
89257
Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
26169
Function $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ three times