To find the end behavior of the function:
[tex]f(x)=x(x^3+1)+6x^2-8x[/tex]We look at the graph of it:
And look at what happens when the x is to small and to big.
• When x goes to infinity the function goes to infinity.
,• When x goes to minus infinity the function goes to infinity.
The other way to find this is taking the limits to infinity in each end:
[tex]\lim _{x\to\infty}f(x)=\infty[/tex][tex]\lim _{x\to-\infty}f(x)=-\infty[/tex]
