Linear Function: f(ax + by) = af(x) + bf(y) vs y = ax+b.
116881
Why is a linear transformation called linear?
66867
Question regarding the function $z=a+bi \mapsto f(z)=a+i(a+b)$.
144090
How to solve the functional equation $f\left(x^2+f(y)\right)=y+f(x)^2$
37966
If $f$ is continuous and $f(x+y) = f(x)+f(y)$, then $f(x) = cx$ for all $x \in \mathbb{R}$
86367
Computing $f(x)$ if $\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x\int_1^y f(t) dt$ and $f(1) = 3$
27809
Find the function equation $f(x+f(y)+yf(x))=y+f(x)+xf(y)$
83894
$f(x^2) = xf(x)$ implies that $ f(x) = mx$?
45676
Showing that $f$ is linear function if $\forall z \in \mathbb{C}$, $|f(z)| \leq 1 + |z|$.
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
134880
Is there a difference between $y(x)$ and $f(x)$
2038
What is the difference between linear regression on y with x and x with y?
78753
$f(x,y)=4x^3y^2$ Dealing with Directional Derivatives and Vectors
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.
7876
If $f(x+y)=f(x)+f(y) ,\forall\;x,y\in\Bbb{R}$, then if $f$ is continuous at $0$, then it is continuous on $\Bbb{R}.$
76900
$\Bbb Q$-linear is equivalent to additive
71049
Functional equation $f(xy)=f(x)+f(y)$ and continuity
129480
Prove that inf(A+B) = infA + infB