F: Z+Z is defined as f(x)=2x1+
then f (z)
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Answer:
Let f:Z↦Z be defined as f(x)=x
2
,x∈Z.
We know that the square of an integer is always a unique integer.
So, ''f'' is a function.
Now, since f(−2)=f(2)=4, ''f'' is not an injection.
There is no integer x∈Z:f(x)=−1.
Hence , ''f'' is not a surjection.
Since ''f'' is neither one-one nor onto, ''f'' is not a bijection.
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