Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities - Page 9: 3

Answer

a. verbal b. Input Description: fraction of relatives Input Units: none Output Description: chance of developing thyroid cancer Output Units: percent c. function d. f ↓ Rule r ↓ r(f) percent

Work Step by Step

a. Because the representation is a word question, the question is verbal. b. Because all that is said of input is that it relates to a fraction of his or her relatives there is no input units. But there an input description, fraction of relatives. The output description is found by looking at what is being contracted: thyroid cancer. And so the units would be the percentage of people who have contracted it. c. The relation is a function because the input only has only one output either cancer or not. d. Draw an input/output diagram of the data.
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