Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.1 Review of Functions - 1.1 Exercises - Page 9: 2

Answer

independent variable -> domain dependent variable -> range

Work Step by Step

The independent variable is associated with the domain, while the dependent variable is associated with the range of a function. For example, in the function $y=x*12$, $x$ is the independent variable and associated with the domain, while $y$ is the dependent variable and associated with the range. We say that $y$ depends on $x$ -- for instance $y$ may be the earnings after working $x$ hours at $12/hour. The earnings depend on the hours worked and the hours (x) is the independent variable, which is allowed to vary.
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