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5. Prove that the mapping given by f(x) =x^3+1 is a function over the integers. 6....

5. Prove that the mapping given by f(x) =x^3+1 is a function over the integers.

6. Prove that f(x) =x^3+is 1-1 over the integers

7.   Prove that f(x) =x^3+1 is not onto over the integers

8   Prove that 1·2+2·3+3·4+···+n(n+1) =(n(n+1)(n+2))/3.

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