Question: ( a ) Define h : Z Z by the rule h ( x ) = 2 x + 1 , for all integers x

(a) Define h:ZZ by the rule h(x)=2x+1, for all integers x.
i. Is h one-to-one? Prove or provide a counterexample.
ii. Is h onto? Prove or provide a counterexample.
(b) Define g:RR by the rule g(x)=x2-1 for all real numbers x.
i. Is g one-to-one? Prove or provide a counterexample.
ii. Is g onto? Prove or provide a counterexample.
( a ) Define h : Z Z by the rule h ( x ) = 2 x +

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