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 - Review Exercises and Problems for Chapter Two - Page 109: 16

Answer

Domain: all real numbers Range: $n(x) \leq 9$

Work Step by Step

The domain of $n(x)=9-x^4$ is all real numbers since the function is defined for all $x$. For any value of $m(x)$ there is a corresponding value of $x$. However, when $x=0$, the maximum value of the function is 9, So the range is $n(x) \leq 9$.
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