Question 1010771
let the leading coefficient be {{{a[n]}}}:

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.

example:
{{{(-3x^3+5)}}} the degree is {{{odd}}} and the leading coefficient is{{{ negative}}}

graph:

 {{{ graph( 600, 600, -10, 10, -10, 10, -3x^3+5) }}} 


{{{(-2x^4-x+5)}}} the degree is {{{even}}} and the leading coefficient is {{{negative}}}

{{{ graph( 600, 600, -10, 10, -10, 10, -2x^4-x+5) }}} 

their product:

{{{(-3x^3+5)(-2x^4-x+5)=6x^7-7x^4-15x^3-5x+25}}}

=>the degree is {{{odd}}} and the leading coefficient is{{{ positive}}}

{{{ graph( 600, 600, -5, 5, -5, 40, 6x^7-7x^4-15x^3-5x+25) }}}


so, choice {{{A}}} is your answer since it is a graph of an {{{odd}}} function with a {{{positive}}} leading coefficient