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: 8

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Given: $f(x)=3(x-1)(x-4)(x+1)$ Find x-intercepts: $x-1=0 \rightarrow x=1\\x-4=0\rightarrow x=4\\x+1=0\rightarrow x=-1$ Let's find some points: $x=-2 \rightarrow y=-54\\x=0 \rightarrow y=12\\ x=2\rightarrow y=-18\\ x=5 \rightarrow y=72$ $f(x) \rightarrow -\infty$ as $x \rightarrow -\infty$ $f(x) \rightarrow \infty $ as $x \rightarrow \infty$