ANSWER:
LC = 5.5 = positive
Degree = 8 = even
[tex]\begin{gathered} x\rightarrow+\infty\text{ then }P(x)\rightarrow+\infty \\ \\ x\operatorname{\rightarrow}-\infty\text{ then }P(x)\operatorname{\rightarrow}+\infty \end{gathered}[/tex]
STEP-BY-STEP EXPLANATION:
The leading coefficient (LC) we can see that it is positive (5.5).
While the degree is even (8).
Therefore, the behavior would be the following:
[tex]\begin{gathered} x\rightarrow+\infty\text{ then }P(x)\rightarrow+\infty \\ \\ x\operatorname{\rightarrow}-\infty\text{ then }P(x)\operatorname{\rightarrow}+\infty \end{gathered}[/tex]
