It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can still explain how the graph of the function would generally look, or you can try uploading the problem again later for plotting!

Would you like some details or have any questions on how this function behaves?

Here are five follow-up questions that might help extend your understanding:

1. What are the critical points of the function $F(x)$?
2. How can we find the roots of $F(x) = 0$?
3. How does the degree of the polynomial affect its general shape?
4. What does the end behavior of this polynomial look like?
5. How can you calculate the inflection points of $F(x)$?

Tip: Polynomials of degree 4, like this one, tend to have a smooth, continuous curve with potential peaks, valleys, and inflection points.