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Questions  

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

a
f is injective
b
f is not one -one and non -constant
c
f is a surjective
d
f is a zero function

detailed solution

Correct option is B

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

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Similar Questions

Which of the following statements are incorrect?

 I. If f(x) and g(x) are one-one then f(x)+g(x) is also one-one

 II. If f(x) and g(x) are one-one then f(x)g(x) is also one-one

 III. If f(x) is odd then it is necessarily one-one. 


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