- #1
geskekj
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Homework Statement
Find the range of the function g: ZxZ --> ZxZ given by g(m,n)=(m-n,m+n). Hints: First recall that if f: A ---> B then Range (f)={b e B such that there exists an A in A with b=f(a). Second, if you claim that some set C is the range, then you must show that i) C is a subset Range(f) and ii) range (f) is a subset of C. Both i and ii are required to conclude that C=range(f).
Homework Equations
none
The Attempt at a Solution
I am think that the range is all integers from -infinity to +infinity.
I know that:
* ZxZ denotes a set of ordered pairs.
* m,n exist in Z
* range (g) exists in Z
I don't know where to go with this!