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Today we will be using the intermediate value theorem to show that a function has a fixed point. If a function f from 0 to 1 is continuous, then there exists a fixed point such that f(x) is equal to x. This means that there is a specific point where nothing happens when you apply the function. Geometrically, this is represented by the function crossing the line y=x. This theorem has practical applications and can be illustrated using various examples.
