Give an example of a continuous function $f:R\rightarrow R$ which attains each of its values exactly three times.
26169
Function $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ three times
131992
A problem on continuous functions
124535
continuous function from $[\pi,2\pi]\to \mathbb{R}^2$
26955
Continuous at exactly two points and differentiable at exactly one of them
136011
Must $f$ be continuous?
19916
$f(x)=f(x^2+ 1/4)$ , $f$ is continuous from $\mathbb{R}$ to $\mathbb{R}$
100436
Examples of nowhere continuous functions
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
89257
Give an example of a function $f:\mathbb{R}^2 \mapsto \mathbb{R}^2$ such that
50649
On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
44607
Prove that a continuous function on a closed interval attains a maximum
111485
Let $f(x)$ be continuous on [$0,1$] to $f(x)=0$ for each $x\in[0,1]$
20091
Every continuous function is the difference of two nonnegative continuous functions
118048
Can a function with just one point in its domain be continuous?
69869
if $f$ is continuous on $\mathbb{R}$ and $f(r)=0,r \in \mathbb{Q}$, then $f(x)=0,x \in \mathbb{R}$
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?