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\begin{aligned}(\text{i})\;f(x)>0\qquad (\text{ii})\; f(x)\geq x+1\qquad(\text{iii})\; f(x)f(-x)=1\qquad (\text{iv})\;f(2x)=f^2(x)
\begin{aligned}(\text{i})\;f(x)>0\qquad (\text{ii})\; f(x)\geq x+1\qquad(\text{iii})\; f(x)f(-x)=1\qquad (\text{iv})\;f(2x)=f^2(x)
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