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In this tutorial, the intermediate value theorem is used to demonstrate that a function has a fixed point. If a function is continuous from 0 to 1, it implies that there is a specific point (such as 1/2) where applying the function results in no change. This fixed point, denoted as X naught, satisfies the equation f(X naught) = X naught. Geometrically, this concept implies that the function F must intersect the line y=x. This theorem has practical applications and implications in mathematics.
