A polynomial function $f(x)$ has x-intercepts at $x=-3,x=1,$ and $x=4$. The graph touches the x-axis at $x=1$ and crosses the x-axis at $x=-3$ and $x=4$. For $x\to \infty$, $f(x)\to -\infty$. Which of the following could be the equation for $f(x)$?