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Today's tutorial focuses on using the intermediate value theorem to prove that a function has a fixed point. If there is a function f from 0 to 1 that is continuous, then it must have a fixed point at a specific point where applying f results in no change. This means there is an X naught between 0 and 1 such that f(X naught) = X naught. Geometrically, this implies that the function crosses the line y = x. This concept has practical applications which will be discussed later.
