The function given is $f(x) = x^2 - x^8$. To determine which statement is true about this function, we need to analyze its general properties. Common properties that could be evaluated are:

1. Degree of the function: The highest degree term in the function $f(x)$ is $-x^8$, so the degree is 8. This makes the function a polynomial of degree 8.

2. End behavior: Since the highest degree term is $-x^8$ (with a negative coefficient), the function's end behavior as $x \to \infty$ or $x \to -\infty$ will cause $f(x) \to -\infty$.

3. Zeros of the function: The function can be factored as $f(x) = x^2(1 - x^6)$, suggesting possible zeros at $x = 0$ and $x = \pm 1$.

4. Symmetry: The function $f(x) = x^2 - x^8$ is even because it satisfies $f(-x) = f(x)$.

These are some common types of statements that could be presented in the dropdown menu. Likely, one of the true statements would relate to the function's degree, end behavior, symmetry, or roots.

Would you like more details on any of these aspects? Here are some related questions you might want to explore:

1. What is the behavior of the function near zero?
2. How does the function behave for large positive and large negative values of $x$?
3. Can this function have any local extrema? If so, where?
4. What are the critical points of this function, and how are they determined?
5. What does the graph of this function look like?

Tip: Understanding the highest-degree term of a polynomial can give you a lot of information about the function’s end behavior and general shape.