Basic calculus question with continuous function
12632
Universal Chord Theorem
37966
If $f$ is continuous and $f(x+y) = f(x)+f(y)$, then $f(x) = cx$ for all $x \in \mathbb{R}$
153798
Problem involving maximum and minimum of a continuous function
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
124499
Where is the error in my proof that all derivatives are continuous?
110112
Proving a function is Lipschitz continuous
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
12523
Supremum of a Continuous Function is Continuous
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. $f(x) = f(x+\frac{1}{2})$
15690
Is a function defined at a single point continuous?
136011
Must $f$ be continuous?
28413
Limit of a continuous function
32571
Is the maximum function of a continuous function continuous?
46834
show that a distance function is continuous
50111
non-continuous function satisfies $f(x+y)=f(x)+f(y)$
118207
Prove that the product of two continuous functions is continuous
48867
why all constant functions are continuous.$?$