Algebra 2 (1st Edition)

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

Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - 5.9 Exercises - Quiz for Lessons 5.7-5.9 - Page 399: 7


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Work Step by Step

Given: $f(x)=-(x-3)(x-2)(x+2)$ Find x-intercepts: $x-3=0 \rightarrow x=3\\x-2=0\rightarrow x=2\\x+2=0\rightarrow x=-2$ Let's find some points: $x=-3 \rightarrow y=30\\x=0 \rightarrow y=-12\\ x=4\rightarrow y=-12$ $$f(x) \rightarrow \infty \ as \ x \rightarrow -\infty$$ $$f(x) \rightarrow -\infty \ as \ x \rightarrow \infty$$
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