Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 195: 57

Answer

$[-3,3]$

Work Step by Step

We are given the function: $f(x)=9-x^2$ Graph the function. The solution of the inequality $f(x)\geq 0$ consists of the values of $x$ for which the graph of the function is above the $x$-axis. Determine the zeroes of the function: $9-x^2=0\Rightarrow x^2=9\Rightarrow x=\pm 3$ The solution of the inequality is: $[-3,3]$
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