Question 1174625

first graph it

{{{ graph( 600, 600, -10, 10, -10, 10,x^3-3x^2-6x+8) }}}

The end behavior of a function  {{{f (x ) }}} describes the behavior of the function as {{{ x }}}approaches {{{infinity }}} and as {{{x }}} approaches {{{- infinity}}} .


Function end behavior of {{{F(x)=x^3-3x^2-6x+8}}} is:

find

{{{lim(x->infinity,(x^3-3x^2-6x+8))=infinity}}}
{{{lim(x->-infinity, (x^3-3x^2-6x+8))=-infinity}}}

answer:
as {{{x -> infinity}}}, {{{F(X) ->infinity}}}, 
and 
as {{{x-> -infinity}}}, {{{F(X) -> -infinity}}}