The graph above shows the functions $e^{-x}$ and $x$. The intersection point, which is the solution to the equation $e^{-x} - x = 0$, occurs at approximately $x \approx 0.567$.

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Here are 5 related questions:

1. How can numerical methods like Newton's method solve transcendental equations?
2. What is the significance of the Lambert W function in solving equations involving $e^x$?
3. Can all transcendental equations be solved graphically?
4. How does the derivative of $e^{-x} - x$ help find the solution?
5. What other methods besides graphing can be used to solve $e^{-x} - x = 0$?

Tip: For equations that can't be solved algebraically, numerical methods like bisection or Newton-Raphson are useful.