The range of the function $$\mathrm{f}(x)=\frac{x^2}{x^2+1}$$ is

The function $$\mathrm{f}(x)=[x] \cdot \cos \left(\frac{2 x-1}{2}\right) \pi$$, where $$[\cdot]$$ denotes the greatest integer function, is discontinuous at

The domain of the definition of the function $$y(x)$$ is given by the equation $$2^x+2^y=2$$ is

If $$3 \mathrm{f}(x)-\mathrm{f}\left(\frac{1}{x}\right)=8 \log _2 x^3, x>0$$, then $$\mathrm{f}(2), \mathrm{f}(4)$$, $$f(8)$$ are in