Mathematics, 20.09.2019 17:30 briiannamb

For each function fi determine whether it is injective but not surjective, surjective but not injective, bijective, or neither injective nor surjective. explain why. (1) fi: r30 + r with fi() = ? for all z ero, where ro = {1 er > 0} = (0,00). (2) f2: ro ro with f(x) = r2 for all r er> 0. (3) f3: r → ro with f(x) = r for all r e r. (4) : r r with f(x) = 10" for all x er. (here 10stands for 1064), not (10" hint. your solution may follow this example: let fs: r → r with f(x) = x for all r € r. then fs is neither injective nor surjective. it is not injective because fs(1) = f(-1) while 1*-1. it is not surjective because there is no r e r such that = -2

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For each function fi determine whether it is injective but not surjective, surjective but not inject...