Identify the end behavior and the zeros of function \( h \).
\[
h(x)=-x^{3}-9 x^{2}+4 x+96
\]
Based on these key features, which statement is true about the graph representing function \( h \) ?
A. The graph is positive on the intervals \( (-\infty,-8) \) and \( (-4,3) \)
B. The graph is positive on the intervals \( (-8,-4) \) and \( (3, \infty) \).
C. The graph is negative on the intervals \( (-\infty,-8) \) and \( (-4,3) \).
D. The graph is negative on the intervals \( (-3,4) \) and \( (8, \infty) \).