Intro to Abstract Math
The Intermediate Value Theorem states that if a function is continuous on a closed interval, then it takes on every value between its values at the endpoints of the interval. This principle highlights the importance of continuity and ensures that for any value between the function's outputs at the ends of the interval, there is at least one input within the interval that produces that output. This theorem connects directly to the understanding of real numbers and the properties of functions defined over them.
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