Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 20: 18


Here is a rough graph of the value, V, as a function of time, t, in years:

Work Step by Step

On the graph, we would represent the value of the car as the y value and the year since the car was purchased as the /value, initially, the car's value will be at its highest because it is new. Over time the value of the car will continue to decrease. The car's value will decrease more rapidly during the first few years, and then decrease less rapidly for the remaining time. The decrease in value is shown on the graph by the graph going downhill from left to right. Initially the graph will be more steeply downhill because the car's value is dropping more rapidly during its first few years.
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