Consider the function h : Z × Z → Z ×Z defined by h(x, y) = (2xy, 7x – 3y). %3D (a) Is h injective? (b) Is h surjective? (c) Is h bijective? Prove or provide a counter-example.

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Consider the function h : Z × Z → Z×Z defined by
h(x, y) = (2xy, 7x – 3y).
(a) Is h injective?
(b) Is h surjective?
(c) Is h bijective?
Prove or provide a counter-example.
Transcribed Image Text:Consider the function h : Z × Z → Z×Z defined by h(x, y) = (2xy, 7x – 3y). (a) Is h injective? (b) Is h surjective? (c) Is h bijective? Prove or provide a counter-example.
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