What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3

This is an odd polynomial.  Note that the odd poly y=x^3 starts in Quadrant III and ends in Quadrant I.  Same for y=x^5.  However,   y= -x^5 starts in Q II and ends in Q IV.

Thus, if x becomes increasingly neg, -x^5 increases in QII; if x becomes increasingly positive, -x^5 decreases in Q IV.

There should only be 1 solution

Hold on lemme do the work