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Check the injectivity and surjectivity of the following functions:(i) f : N → N given by f(x) =
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#class12
#relationsandfunctions
#Checktheinjectivityandsurjectivityofthefollowingfunctions
#fNNgivenbyfxisequaltox2
#fZZgivenbyfxisequaltox2
#fRRgivenbyfxisequaltox2
#fNNgivenbyfxisequaltox3
#fZZgivenbyfxisequaltox3
Check the injectivity and surjectivity of the following functions:
(i) f : N → N given by f(x) = x^2
(ii) f : Z → Z given by f(x) = x^2
(iii) f : R → R given by f(x) = x^2
(iv) f : N → N given by f(x) = x^3
(v) f : Z → Z given by f(x) = x^3
#relationsandfunctions
#Checktheinjectivityandsurjectivityofthefollowingfunctions
#fNNgivenbyfxisequaltox2
#fZZgivenbyfxisequaltox2
#fRRgivenbyfxisequaltox2
#fNNgivenbyfxisequaltox3
#fZZgivenbyfxisequaltox3
Check the injectivity and surjectivity of the following functions:
(i) f : N → N given by f(x) = x^2
(ii) f : Z → Z given by f(x) = x^2
(iii) f : R → R given by f(x) = x^2
(iv) f : N → N given by f(x) = x^3
(v) f : Z → Z given by f(x) = x^3
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