The question asks which expression is a possible leading term for the polynomial function shown in the graph. Let’s analyze this:

1. Degree of the Polynomial:

   • The number of turning points indicates the degree of the polynomial. The graph has seven turning points, suggesting that the degree is at least 8 (since the degree is one more than the number of turning points).

2. Leading Term Behavior:

   • The ends of the graph show opposite directions:
     • As $x \to -\infty$, $y \to \infty$.
     • As $x \to \infty$, $y \to -\infty$.
   • This indicates an odd-degree leading term. However, the presence of 8 turning points suggests there is another factor to consider.

3. Check among options:

   • -4x^8: leading behavior matches. It starts negative when x=-values are high