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Statement 1 : For a continuous surjectiv...

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

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

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.

Statement 1: If f(x) is an odd function,then f'(x) is an even function.Statement 2: If f'(x) is an even function,then f(x) is an odd function.

Statement 1: The function f(x)=x^2+tan^(-1)x is a non-periodic function. Statement 2: The sum of two non-periodic functions is always non-periodic.

Statement 1: The function f(x)=x^2+tan^(-1)x is a non-periodic function. Statement 2: The sum of two non-periodic functions is always non-periodic.

If f (x) is periodic function with period T, then the function f (ax+b) where a gt 0, is periodic with period

If f (x) is periodic function with period T, then the function f (ax+b) where a gt 0, is periodic with period

If f is continuous and g is a discontinuous function then f+g is continuous function.