a)
b) Tm = {m2, m*}.
T(-3) consist of 2 elements - {9,-3}
T(-1) consist of 2 elements - {1,-1}
T(0) consist of {0,0}
T(1) consist of {1,1}
c)V={(x,y) G×H (x-y)/4 is integer }
V contains all ordered pairs (x,y) (G,H) for which (x-y)/4 is an integer and thus if the difference of x and y is divisibe by 4.
When x=-2 G, then x-y is ony divisible by 4 for y=6 H.
(-2,6) V
When x=0 G, then x-y is only divisible by 4 for y=4 H and y=8 H
(0,4) T
(0,8) T
When x=2 G, then x-y is only divisible by 4 for y=6 H
(2,6) T
V then contains all previously mentioned ordered pairs
V={(-2,6),(0,4),(0,8),(2,6)}
The domain of V contains all values x for which (x,y) V. By previous part we then note that x can take on the values -2,0,2.
Domain={-2,0,2}
The codomain of V contains all values y for which (x,y) V. We then note that y can take on the values 4,6,8.
Codomain={4,6,8}
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