Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.1 - Introduction to Functions - Exercise Set - Page 113: 34

Answer

The ordered pairs can be obtained in the graph, where the pink bars correspond to the most corrupt countries. a) (country, corruption rating) $$(Bangladesh, 1.7), (Chad, 1.7), (Haiti, 1.8), (Myanmar, 1.8)$$ b) The relation in part $a$ is a function since the domain (countries) correspond to exactly one member of range (corruption rating). If we know the country, we can easily point out the corruption rating of that particular country c) (corruption rating, country) $$(1.7, Bangladesh), (1.7, Chad), (1.8, Haiti), (1.8, Myanmar)$$ d) The relation in part $c$ is not a function since both the domains (corruption rating) are shared by members of range (countries) i.e. the member of the domain, 1.7, is shared by Bangladesh and Chad. If we know the corruption rating of 1.7, we cannot easily identify the country to which this rating correspond. Same goes with domain 1.8. Even if we know the corruption rating of 1.8, we cannot identify the country that this value pertains to.

Work Step by Step

The ordered pairs can be obtained in the graph, where the pink bars correspond to the most corrupt countries. a) (country, corruption rating) $$(Bangladesh, 1.7), (Chad, 1.7), (Haiti, 1.8), (Myanmar, 1.8)$$ b) The relation in part $a$ is a function since the domain (countries) correspond to exactly one member of range (corruption rating). If we know the country, we can easily point out the corruption rating of that particular country c) (corruption rating, country) $$(1.7, Bangladesh), (1.7, Chad), (1.8, Haiti), (1.8, Myanmar)$$ d) The relation in part $c$ is not a function since both the domains (corruption rating) are shared by members of range (countries) i.e. the member of the domain, 1.7, is shared by Bangladesh and Chad. If we know the corruption rating of 1.7, we cannot easily identify the country to which this rating correspond. Same goes with domain 1.8. Even if we know the corruption rating of 1.8, we cannot identify the country that this value pertains to.
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