I have a function:
$\displaystyle f(m,n) = mn$
The domain for this is $\displaystyle Z \times Z$. The range is $\displaystyle Z$. How can I prove if it is one-to-one, onto, or both?
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I have a function:
$\displaystyle f(m,n) = mn$
The domain for this is $\displaystyle Z \times Z$. The range is $\displaystyle Z$. How can I prove if it is one-to-one, onto, or both?
Ohh, I thought Z was some arbitrary set, not the set of all integers. Thanks.