Explanation
Since the leading term of the polynomial (the term in the polynomial which contains the highest power of the variable) is x^8, the degree is 8, i.e. even, and the leading coefficient is 1, i.e. positive.
This means that the end behavior is
Answer
[tex]f(x)\rightarrow\infty\text{ }as\text{ }x\rightarrow-\infty,f(x)\rightarrow\infty\text{ }as\text{ }x\rightarrow\infty[/tex]
