Question

Determine the end behavior of the given polynomial function: f(x)=(x^2-9)(5x-x^3)^2

Answer 1

Step-by-step 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

`f(x)\rightarrow\infty\text{ }as\text{ }x\rightarrow-\infty,f(x)\rightarrow\infty\text{ }as\text{ }x\rightarrow\infty`