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: 7

Answer

a. numerical b. Input Description: diameter of the raw loaf Input Units: inches Output Description: baking time Output Units: minutes c. not a function d. The relation is not a function, because for an input has the ability for more than one output.

Work Step by Step

a. The representation is verbal because the data is given in word format. b. The input is the diameter of a loaf of bread, the output is the time it takes to bake it. Because if you input the size of the loaf you get the time it takes to bake it. The input units are inches because that is what is used measure the loaf, the output units are minutes because that is how the baking time is measured. c. It is not a function because baking time for a given loaf can vary by 10-15 minutes. So there is not only one output for each input. d. Just explain why the relation is not a function.
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