A3. Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function such that

$$
f(x)= \begin{cases}x ; & x \geq 2 \\ f(4-x) ; & 0 \leq x<2 \\ f(x+2) ; & x<0\end{cases}
$$

What is $f(-5)$?
(A) -3
(B) -1
(C) 1
(D) 3
(E) 5

Problems for 3rd grade
A3. Taking into account the properties of the function $f$, we calculate

$$
f(-5)=f(-5+2)=f(-3)=f(-3+2)=f(-1)=f(-1+2)=f(1)=f(4-1)=f(3)=3
$$