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Statement 1 : For a continuous surjectiv...

Statement 1 : For a continuous surjective function `f: RtoR ,f(x)` can never be a periodic function. Statement 2: For a surjective function `f: RtoR ,f(x)` to be periodic, it should necessarily be a discontinuous function.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  5. Find the range of f(x)=(log)esinx

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  7. Find the domain of the following functions: f(x)=sqrt((2/(x^2-x+1)-1/(...

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  9. Find the domain of the following functions: f(x)=sqrt((x-2)/(x+2))+sqr...

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  11. Find the range of f(x)=(log)3(5-4x-x^2)

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  12. The equation ||x-2|+a|=4 can have four distinct real solutions for x i...

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  13. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

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  14. The period of function 2^({x})+sinpix+3^({x/2})+cos2pix (where {x} den...

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  15. Find the domain and range of f(x)=sqrt(x^2-3x+2)

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  19. Find the range of f(x)=(x^2)/(x^2+1)

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