An algebra problem by Vinay Jain

Algebra Level pending

The range of f(x) = sgn{x} is: (where {.} represents fractional part function)

[0,1) {1} [0,1] {0,1}

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1 solution

The value of { x } \{x\} is always greater than or equal to zero for all real x x .

Thus, f ( x ) = 1 f(x)=1 for all non-integers and f ( x ) = 0 f(x)=0 for all integers.

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