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: 6

Answer

Example 1: The height of a woman from her birth to her death at 80 years old. The domain of the function (in years) is from 0 to 80 and the range or the function (in centimeters) is from 50 to 170. The woman was thus born mesuring 50 centimeters and reached a maximum height of 170 centimeters before dying at 80 years of age. Example 2: The height of a baseball that has been thrown perfectly vertically. The domain of the function (in seconds) is from 0 to 10, as the ball took 10 seconds to fall back to the ground. The range of the function (in meters) is from 0 to 20, the ball's maximum height. The ball is initially thrown straight up into the air, reaches a maximum height of 20 meters, then falls back down to the ground over the course of 10 seconds. Example 3: The distance travelled by a car over 90 minutes if the car is travelling at a constant velocity of 10 km/h. The domain of the function (in minutes) is from 0 to 90. The range of the function (in kilometers) is from 0 to 15.

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