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(Solved): a. Define F:Z->Z by the rule F(n)=2-3n, for all integers n. (i) Is F one-to-one? Prove or give a ...



a. Define

F:Z->Z

by the rule

F(n)=2-3n

, for all integers

n

. (i) Is

F

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

F

onto? Prove or give a counterexample. b. Define

G:R->R

by the rule

G(x)=2-3x

for all real numbers

x

. Is

G

onto? Prove or give a counterexample.

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