continuous and monotonic function
139720
Are all continuous one one functions differentiable?
68165
Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
151410
Inequality of continuous functions
12349
a construction of a continuous function from a normal space to [0,1]
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
18082
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
140929
Increasing, continuous function implies connectivity and viceversa.
147516
Continuous function whose right hand derivative equals 0 is constant?
22597
Composition of measurable function and continuous function
17234
Show that a continuous function has a fixed point
131992
A problem on continuous functions
44574
Continuity of absolute value of a function
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
82280
Problem about continuous functions and the intermediate value theorem
108997
Continuous functions that attain local extrema at every point
57180
Techniques to prove a function is uniformly continuous
28315
Monotone functions and non-vanishing of derivative