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: 22

Answer

(a) Shows a sketch of a possible graph of x(t) (b) Shows a sketch of a possible graph of y(t)
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Work Step by Step

(a) The x-axis represents time in minutes and the y-axis represents horizontal distance travelled in miles. Assuming a constant speed, the airplane takes 60 minutes to travel 400 miles, and this is graphed as a straight line. (b) The x-axis represents time in minutes and the y-axis represents vertical distance (altitude) travelled in miles. Assuming the graph here is non-linear, as the speed may not be equal at all points during the journey, the airplane takes 30 minutes to rise 6 miles and another 30 minutes to fall 6 miles.
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