Question 1198860
{{{ f(x)=2x^7+4x^4-6}}}

Use the degree and the leading coefficient to determine the behavior.

{{{ax^n}}}

Case.......................................................End Behavior of graph

When {{{n}}} is odd and {{{a[n]}}} is positive.......	Graph falls to the left and rises to the right
When {{{n}}} is odd and {{{a[n]}}} is negative.......	Graph rises to the left and falls to the right
When {{{n}}} is even and {{{a[n]}}} is positive.......	Graph rises to the left and right
When {{{n}}} is even and {{{a[n]}}} is negative.......	Graph falls to the left and right


in your case

{{{2x^7}}}->{{{a=2}}},{{{n=7}}}

->{{{n}}} is odd and {{{a[n] }}}is positive=>Graph falls to the left and rises to the right

answer:

C) {{{f(x)}}} goes to {{{-infinity}}} as {{{x}}} goes to {{{-infinity}}}, and {{{f(x)}}} goes to {{{+infinity}}} as {{{x }}}goes to {{{+infinity}}}



{{{ graph( 600, 600, -2, 2, -10, 2, 2x^7+4x^4-6) }}}