8. Find a counterexample or use proof by cases to prove that [x -y] = [x] - [y] 9. Prove if the following functions are

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8 Find A Counterexample Or Use Proof By Cases To Prove That X Y X Y 9 Prove If The Following Functions Are 1 (20.91 KiB) Viewed 37 times

8. Find a counterexample or use proof by cases to prove that [x -y] = [x] - [y] 9. Prove if the following functions are onto or not: a. f:ZxZ-Z, f(x) = m+n+1 b. f:ZxZ-Z, f(x) = m² -n² c. f:Z xZ-Z, f(x) = |m|-|n| 10. Prove if the following functions are one-to-one or not. a. f:R→R, f(x) = x³ b. f:RR, f(x) = x² + 1