Problem 1:Z stands for set of integers and R stands for set of real numbers

1. a) DefineF : ZZ by the rule F(n) = 2 -3n, for all integersn,
2. Is F one-to-one? (Prove or give a counterexample.)

ii)Is F onto? (Prove or give a counterexample.)

b) DefineG : RR by the rule G(x) = 2 -3x, for all real number x,

1. Is G one-to-one? (Prove or give a counterexample.)

ii)Is G onto? (Prove or give a counterexample.)