Algebra 2 (1st Edition)

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

Chapter 5 Polynomials and Polynomial Functions - Graphing Calculator Activity - 5.2 Set a Good Viewing Window - Practice - Page 345: 10

Answer

$[0,20]×[0,3000]$

Work Step by Step

We are given the function: $$S(x)=-4.10x^3+67.4x^2-121x+1170, x\geq 0.$$ We graph the function. We notice that the function has a maximum of about $2600$ and a minimum $0$, so the window will have $y$ from $0$ to $3000$. As $x$ represents the number of years after $1994$, the minimum value of $x$ will be $0$. The maximum value of $x$ is obtained when the graph intersects the $x$-axis (the average salary - $y$- must be positive), so the maximum value of $x$ is about $16$. Therefore the window will have $x$ from $0$ to $20$. The final window will be $[0,20]\times [0,3000]$.
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