Answer
(a) domain $(-\infty,\infty)$
(b) range $(-\infty,0]$
(c) end behavior: fall to the left and right (see figure).
(d) number of zeros: maximum $ 6$
(e) number of turning points: maximum $ 5$
Work Step by Step
Given the dominating term of a polynomial function as $-9x^6$, we can conclude the following:
(a) domain $(-\infty,\infty)$ no bound horizontally.
(b) range $(-\infty,0]$ bounded vertically.
(c) end behavior: $n=6, a_6=-9\lt0$, fall to the left and right (see figure).
(d) number of zeros: maximum $n=6$
(e) number of turning points: maximum $n-1=5$