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0 I need to construct two bijections: $$f_1 : ((0,1)times(2,3)) rightarrow (0,2)times(5,6)$$ $$f_2 : (mathbb{Z}times[0,1))rightarrowmathbb{R}$$ I know what bijection means and all conditions that functions have to fulfill in order to be bijective, but I have no idea how should I 'construct' them. I thought of drawing graphs of each set from function $f_1$ , but it does not help me to do further steps. It would be nice if you could show me step-by-step how it should be done. elementary-set-theory share | cite | improve this question edited Dec 8 at 18:24