Constructing a continuous function whose graph seems 'special'
12632
Universal Chord Theorem
22641
Nonlinear function continuous but not bounded
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
16743
Graph of real continuous function has measure zero
23965
Function which preserves closed-boundedness and path-connectedness continuous?
2142
Finding a set of continuous functions with a certain property 2
140929
Increasing, continuous function implies connectivity and viceversa.
4679
Nonpiecewise Function Defined at a Point but Not Continuous There
46834
show that a distance function is continuous
77621
Continuity of function mapping connected set to connected set
113740
Find a uniformly continuous function such that $a_{n+1}=f(a_n)$
85396
Plotting discontinuous functions without spurious vertical segments
37122
Modifying some features on the graphs of a function and its inverse
68165
Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
76607
Show that exists a continuous function in $E$ that is not bounded
133696
Example of a function continuous at only one point.
70645
Borel set preserved by continuous map