Define H: R × R R × R as follows:H(x, y) = (x + 1, 2 y)

Chapter 7, Problem 29E

(choose chapter or problem)

Problem 29E

Define H: R × R → R × R as follows:

H(x, y) = (x + 1, 2 − y) for all (x, y)∈ R × R.

a. Is H one-to-one? Prove or give a counterexample.

b. Is H onto? Prove or give a counterexample.

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