Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 19: 6

Answer

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

Work Step by Step

1. If we look at electricity consumption as a function of time, we see that 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 that 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. A projectile starts at an initial height (say 100m) and travels to its greatest height (say 2400m) and then to its lowest height (0m) all in 25s. So the range is [0m,2400m] and the domain is [0s,25s]
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