Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.2 Evaluate and Graph Polynomial Functions - 5.2 Exercises - Skill Practice - Page 343: 53a

Answer

See table

Work Step by Step

We are given the functions: $$\begin{align*} f(x)&=x^3\\ g(x)&=x^3-2x^2+4x. \end{align*}$$ Calculate $f(x)$, $g(x)$ and $f(x)/g(x)$ and put the results in the table: \[ \begin{array}{c|c|c|c} \hline x & f(x)&g(x) &\dfrac{f(x)}{g(x)} \\ \hline 10 &1000 & 840 &1.179&\\ \hline 20 & 8000 & 7280 &1.099&\\ \hline 50 &125,000 &120,200 &1.040&\\ \hline 100 &1,000,000 &980,400 &1.020&\\ \hline 200 & 8,000,000 &7,920,800 &1.010&\\ \hline \end{array}\]
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