For each of the following functions, determine, with explanation whether the function is one-to-one and whether it is onto.

(a) f:RxR --->RxR where f(x,y)=(3x-2, 5y+7) (when R=real numbers)

(b) g:ZxZ---->ZxZ where g(m,n)=(n+6, 2-m) (when Z=integers)

(c) h:ZxZ---->ZxZ where h(r,s)=(2r+1, 4s+3) (when Z=integers)

(d) Phi:ZxZ---->S={a+b(sqrt(2)):a, b in Z} where Phi(a,b)=a+b(sqrt(2)) (when Z=integers)

(e) Alpha:R --->RxR where Alpha(x)=(x^2, 2x+1) (when R=real numbers)

Answer rating: 100% (QA)

a fRxR RxR where fxy3x2 5y7 when Rreal numbers This map is 11 and onto The general reason it is 11 i... View the full answer