Question

Determine the enbehavior of the graph of the given polynomial function.

Answer 1

To analyze the end behavior of this function we just need to evaluate its limit as it goes to infinity and minus infinity.

`f(x)=4x^7+4x^6+2x^2-5`

The limits of this functions are

`\begin{gathered} \lim _(x\to\infty)f(x)=\infty \\ \lim _(x\to-\infty)f(x)=-\infty \end{gathered}`

This function goes down as x approaches minus infinity and goes up as x approaches infinity.