The answer is not 11!

Algebra Level 4

Suppose \(f(x)\) is polynomial of degree \(5\) with leading coefficient of 2001. With \(f(1)=1\), \(f(2)=3\), \(f(3)=5\), \(f(4)=7\), \(f(5)=9\). What is the value of \(f(6) \)?

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