Chapter 5 Polynomials and Polynomial Functions - 5.7 Apply the Fundamental Theorem of Algebra - 5.7 Exercises - Mixed Review - Page 386: 73

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$x=-3 \rightarrow y=-11\\ x=-2 \rightarrow y=3\\ x=-1 \rightarrow y=5\\ x=0 \rightarrow y=1\\ x=1\rightarrow y=-3\\ x=2 \rightarrow y=-1\\ x=3 \rightarrow y=13$ The leading coefficient is positive, thus: $y \rightarrow -\infty $ as $x \rightarrow -\infty$ $y \rightarrow \infty $ as $x \rightarrow \infty$