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6. Is the function h: Z → Z defined by ( 2n if n 20 h(n) -n if n < 0 one-to-one? Is it onto?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 28EQ

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Question

6. Is the function h: Z → Z defined by
2n if n 20
h(n) =
-n
if n <0
one-to-one? Is it onto?

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