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Explain how the Intermediate Value Theorem can assist us in finding a zero of a function.
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SOLVED: The Intermediate Value Theorem is powerful in proving that a solution of an equation exists even when we may not know how to solve the equation. The Intermediate Value Theorem (referenced in your textbook on page 120) says that if f is a continuous function on the closed interval [a, b] and N is any number between f(a) and f(b), then there exists a number C, where a 0, the Intermediate Value Theorem guarantees a number c, where 0 < c < 3, such that f(c) = 0. In particular, f(x) = 3x^2
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