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MathNet 2022-part-05 — 197 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 8

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function satisfying
$$
f(x)= \begin{cases}x ; & x \geq 2 \\ f(4-x) ; & 0 \leq x\lt2 \\ f(x+2) ; & x\lt0\end{cases}
$$
What is $f(-5)$?
(A) -3
(B) -1
(C) 1
(D) 3
(E) 5