Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - Strengthen Your Understanding - Page 113: 12



Work Step by Step

Oftentimes, functions modeling real-world situations involve certain restraints. Domain restriction: If W = f(x) shows W pounds lost daily from $x$ daily hours of working out, $x$ must be a positive value (you cannot work out for a negative amount of time). Range restriction: If P = f(y) shows the population P of planet earth at the beginning of the year $y$ years after the year 2000, $P$ must be positive (population cannot be negative).
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