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Proof of Intermediate Value Theorem

Instructions

Use this dynamic activity to explore the graphical representation of the proof of Intermediate Value Theorem. You can change the given information for () and the interval of to . Drag the slider "" to understand the constructive aspect of the proof.

Reflection Questions

For the terms in the sequence of [, ], what can you conclude about the relationship between the terms? For the intervals of [, ], what property do they have (Hint: Nested Interval Property)? How can we demonstrate the proof of this theorem using the relationship and property we concluded above?