A function f: N Z is defined by f(n)= cases n-1 2 , & when n is odd [2mm] - n2, & when n is even. cases The function f is

JEE Advanced Mathematics question

A function is defined by

f(n)=

The function is

Answer: (B)

The two branches cover without overlap: - odd map to , all distinct; these are the non-negative integers; - even map

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Question ID VK-110104