Continuous function problem in equality
32506
Prove $kf(x)+f'(x)=0 $ when conditions of Rolle's theorem are satisfied .
100839
If two continuous functions are equal almost everywhere on $[a,b]$, then they are equal everywhere on $[a,b]$
76009
Can a continuous function from the reals to the reals assume each value an even number of times?
12523
Supremum of a Continuous Function is Continuous
64619
Continuity of a function of product spaces
143174
property of continuous function
95970
Let $f:[0,1] \rightarrow \mathbb{R}$ be a continuous function. If $f(0)=f(1)$ then exists $x\in [0,1]$ s.t. $f(x) = f(x+\frac{1}{2})$
58664
Proving a function is continuous for a fixed variable
50111
non-continuous function satisfies $f(x+y)=f(x)+f(y)$
147516
Continuous function whose right hand derivative equals 0 is constant?
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
150756
Equality of integrals
16338
3rd iterate of a continuous function equals identity function
26754
Find all continuous functions satisfying $\int_0^xf=(f(x))^2+C$ for some constant $C \neq 0$.
126878
Monotonic function satisfying darboux property $\Rightarrow$ continuous
53812
Metric is continuous function
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous