Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.1 Functions - 2.1 Assess Your Understanding - Page 59: 117

Answer

$H(x)=\dfrac{3x-x^3}{[your|age]}$

Work Step by Step

Multiplies a number $x$ by $3$ means $3x$. Cube of $x$ means $x^3$. Thus, "multiplies a number $x$ by $3$ and then subtracts the cube of $x$" means $3x-x^3$. The result divided by your age means $\dfrac{3x-x^3}{\text{"your age"}}$. Thus, the function is $H(x)=\dfrac{3x-x^3}{[your|age]}$
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