Proving f is a linear function
1954
Entire function bounded by polynomial of degree 3/2 must be linear.
95340
Locally bounded additive function is linear
97371
Proving a function is constant, under certain conditions?
111458
Prove that $f$ is differentiable
35953
Prove that a function is not injective
28399
Showing $f$ is constant
102553
How to show that $f(z) = f(i)$
28007
Assuming: $\forall x \in [0,1]:f(x) > x$ Prove: $\forall x \in [0,1]:f(x) > x + \varepsilon $
72006
Suppose $f(x)$ is linear i.e. $f(x + y) = f(x) +f(y) $ and monotone on $[-\infty, +\infty]$, then $f(x) = ax$, a real.
118873
Prove that $f(x)=0$ for all $x\in\mathbb{R}$.
147021
Proving a function is bounded
69008
$f'(x) = [f(x)]^{2}$. Prove $f(x) = 0 $
99726
Proving that a function is not a contraction
2072
Demonstrate that if $f$ is surjective then $X = f(f^{-1}(X))$
121558
Showing that $n$ exponential functions are linearly independent.
6291
Proving something is a linearly independent subset
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t