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?
It is clearly not one-to-one: $\displaystyle f(2,3)=f(3,2)$.Quote:
Originally Posted by Projectt
Is it onto? If $\displaystyle z\in \mathbb{Z}$ then is it possible that $\displaystyle f(?,?)=z$?
Ohh, I thought Z was some arbitrary set, not the set of all integers. Thanks.
