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 19: 6


Three examples of functions from everyday life are: 1. Electricity consumption is a function of time. 2. The flight velocity of an airplane is a function of the drag on the plane. 3. The height of a projectile thrown into the air is a function of time.

Work Step by Step

1. The longer the consumption the greater the amount used. The domain is [0,$\infty$) because usage time cannot be negative. The range is also [0,$\infty$) because the consumption can only be positive. 2.Assume the maximum speed of an airplane is 885 km/h, then the range of the flight velocity is [0,885]. At low speeds a plane has greater drag to generate lift. At mid speeds it has the lowest drag and at high speeds it also has greater drag due to air. 3. The projectile starts at an initial height (say 100m), it then travels to it's greatest height (say 2400m) and then to it's lowest height, 0m - all in 25s. So the range is [0m,2400m] and the domain is [0s,25s]
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