Answer
(a) $none$.
(b) will not cross the x-axis or touch the x-axis.
(c) $5$.
(d) $y=-2x^6$.
Work Step by Step
(a) For $f(x)=-2(x^2+3)^3$, we can list real zero as $none$.
(b) The graph will not cross the x-axis or touch the x-axis.
(c) The maximum number of turning points on the graph is given by $n-1=6-1=5$.
(d) As $n=6, a_6\lt0$, the end behaviors are fall to the right and fall to the left, similar to $y=-2x^6$.
