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MathNet 2006 — Part 02 Question 137

Math Olympiad Vault · MathNet 2006 — Part 02

Question 137

The $f$ function is given by the following table.

| $\boldsymbol{x}$ | 1 | 2 | 3 | 4 | 5 |
| :---: | :--- | :--- | :--- | :--- | :--- |
| $f(x)$ | 4 | 1 | 3 | 5 | 2 |

For example, $f(2)=1$ and $f(4)=5$. How much is $\underbrace{f(f(\cdots f(4)\cdots))}_{2004\text{times}}$ worth?


A) 1

B) 2

C) 3

D) 4

E) 5