Continuous function, finding its value
14495
I need to find all functions $f:\mathbb R \rightarrow \mathbb R$ which are continuous and satisfy $f(x+y)=f(x)+f(y)$
113740
Find a uniformly continuous function such that $a_{n+1}=f(a_n)$
118048
Can a function with just one point in its domain be continuous?
100187
Show function is continuous at origin
54797
Find the continuous function defined over $[0,1]$ such that $\int_0^1f(x){\rm d}x=1, \int_0^1 xf(x){\rm d}x=a$ and $\int_0^1x^2f(x){\rm d}x=a^2 .$
115018
Continuous Fibonacci number F(n)
113362
Given a continuous random variable $X$ and the pdf find....
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
97773
If $f$ is continuous with $f(x) = f(2x),f(1) = 3$, then what is $ \int_{-1}^{1}f(f(x))\,dx$?
12523
Supremum of a Continuous Function is Continuous
141945
Why is $f(x) = \sqrt{x}$ is continuous at $x=0$? Does $\lim_{x \to 0^{-}} \sqrt{x}$ exist?
133696
Example of a function continuous at only one point.
44607
Prove that a continuous function on a closed interval attains a maximum
7450
Can a continuous real function take each value exactly 3 times?
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
13765
Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
99690
Find the interval over which this function is greater than 1