# IVT Dynamic Illustrator

The

**INTERMEDIATE VALUE THEOREM**states: If g is a CONTINUOUS FUNCTION over [a,b], and if**between g(a) and g(b), where g(a) and g(b) are not equal, then***N*= any output**there exists an input c**in the open interval (a,b) so that**g(c) =**This applet dynamically illustrates this fact.*N*.**Note:***Just make sure the function you enter is CONTINUOUS over [a,b]!***You can simply drag points A and B to the left and right to adjust the values of a and b.****You can also simply enter in any***N*value between g(a) and g(b) by moving the BIG BLUE POINT or simply by entering in a value.## Quick Demo (BGM: Simeon Smith)

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