Is f: Z Z, f(x)=x^2 is one-one function? - Vidyadip

Question

Is $f: Z \rightarrow Z, f(x)=x^2$ is one-one function?

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Answer

No, $f: Z \rightarrow Z, f(x)=x^2$ is not one-one function because $3,-3 \in Z$ but $3 \neq-3$ and $f(-3)=f(3)=$ 9 or -3 and 3 has same image 9 .

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