Answer
(a) domain $(-\infty,\infty)$
(b) range $(-\infty,\infty)$
(c) end behavior: rise to the right and fall to the left (see figure).
(d) number of zeros: maximum $ 7$
(e) number of turning points: maximum $ 6$
Work Step by Step
Given the dominating term of a polynomial function as $10x^7$, we can conclude the following:
(a) domain $(-\infty,\infty)$ no bound horizontally.
(b) range $(-\infty,\infty)$ no bound vertically.
(c) end behavior: $n=7, a_7=10\gt0$, rise to the right and fall to the left (see figure).
(d) number of zeros: maximum $n=7$
(e) number of turning points: maximum $n-1=6$
