Continuous function that reaches each value on its range exactly 2 times.
76009
Can a continuous function from the reals to the reals assume each value an even number of times?
66601
Convert continuous numeric values to discrete categories defined by intervals
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
102075
A function continuous on all irrational points
2321
Can there be two distinct, continuous functions that are equal at all rationals?
91398
Continuous function on R which tends to infinity on open interval must have a minimum
157500
Are continuous functions monotonic for very small ranges?
120947
continuous real-valued function
141618
Is every real valued function on an interval a sum of two functions with Intermediate Value Property?
68171
Non-trigonometric Continuous Periodic Functions
15487
Continuous function from a connected set?
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)
12349
a construction of a continuous function from a normal space to [0,1]
103241
A function that is continuous at the origin but not differentiable there
139763
A function takes every function value twice - proof it is not continuous
147247
Continuous function on closed unit ball
17234
Show that a continuous function has a fixed point