## Task 24/73

A function $f(x)$ has the following properties:

1. For real $x$, $f(x)>0$.
2. For real $x_{i}$, $f\left(x_{1}+x_{2}\right)=2 \cdot f\left(x_{1}\right) f\left(x_{2}\right)$.
3. $f(2)=2$.

Determine the function values $f(1), f(0), f(3)$, and $f(6)$! What function is this?