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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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: $x=-3 \rightarrow y=30\\x=0 \rightarrow y=-12\\ x=4\rightarrow y=-12$ $$f(x) \rightarrow \infty \ as \ x \rightarrow -\infty$$ $$f(x) \rightarrow -\infty \ as \ x \rightarrow \infty$$