If f : R→R and F(x) =sin(π{x})X4+3×2+7, Where { } is a fractional part of x , then

If f : R→R and F(x) =sin(π{x})X4+3x2+7, Where { } is a fractional part of x , then

  1. A

    f is injective

  2. B

    f is not one -one and non -constant

  3. C

    f is a surjective

  4. D

    f is a zero function

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    Solution:

    f (x) = sin(π{x})X4+3x2+7
    Here , f (1 /2 )= f(-1 /2)
    Clearly, f(x) is not one -one and also it is dependent on x.

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