The modulus game . . !!

Algebra Level 4

Let there be an equation

f ( x ) = . . . . . x 2 2 2 . . . . , f(x) =|. . . . . | | |x-2| - 2 | - 2 |. . . . | ,

where "|. . . | " denotes modulus . Let there be 2014 times modulus in f(x) .

Find the number of roots of f(x) ?


The answer is 2014.

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