Question 481513
 

{{{f(x)=-x^3+2}}}

-odd-degree polynomials have ends that head off in opposite directions 

-if they start "down" (entering the graphing "box" through the "bottom") and go "up" (leaving the graphing "box" through the "top"), they're positive polynomials; 

-if they start "up" and go "down", they're negative polynomials

Since the leading coefficient of this odd-degree polynomial is negative, then its end-behavior is going to mimic a negative cubic:

{{{ graph( 500, 500, -6, 5, -10, 10,-x^3+2) }}}