Explain the Intermediate Value Theorem and provide an example of how it can be applied to a polynomial function.

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Deleon Klein · Accepted Answer

The Intermediate Value Theorem states that if a continuous function takes on two different values at two points, it must take on every value in between those points. For example, the polynomial function $$ f(x) = x^3 - 3x + 2 $$ has a root at $$ c = 1 $$ in the interval $$[0, 2]$$.

Explain the Intermediate Value Theorem and provide an example of how it can be applied to a polynomial function.

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Explain the Intermediate Value Theorem and provide an example of how it can be applied to a polynomial function.

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