The given function is:

$f(x) = x^4 - 5x^2 + 4$

You can analyze this function in several ways, such as finding its derivative, evaluating it at specific points, or determining its behavior for different values of $x$. To help you further, let me know if you want to:

1. Find the derivative of $f(x)$.
2. Determine the critical points or local maxima/minima.
3. Find the function’s value at specific points.
4. Analyze the function’s behavior for large values of $x$.
5. Determine the roots (if any) of the equation $f(x) = 0$.

Would you like me to proceed with any of these steps, or is there something else you'd like to explore?

Tip:

To find the critical points of a function, first take its derivative and set it equal to zero to solve for $x$.