A cubic polynomial $f$ satisfies $f(0)=0, f(1)=1, f(2)=2, f(3)=4$. What is $f(5)$?
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<|im_start|>user
A cubic polynomial $f$ satisfies $f(0)=0, f(1)=1, f(2)=2, f(3)=4$. What is $f(5)$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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A cubic polynomial $f$ satisfies $f(0)=0, f(1)=1, f(2)=2, f(3)=4$. What is $f(5)$?
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