Question: Determine if the function is one-to-one, and prove your answer. a. The function f : NN defined by f = { (x, y)NN : (x=

Determine if the function is one-to-one, and prove your answer.

a. The function f : NN defined by f = { (x, y)NN : (x= 2y)(x= 2y+ 1) }

Hint: No, the function is not one-to-one. Prove it.

b. The function f : ZZ defined by f = { (x, y)ZZ : x+y= 0 }

Hint: Yes, the function is one-to-one. Prove it.

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