State the intermediate value theorem.(b.) Prove that there is some number x such that x2 + x − 1 = 0.

Question

State the intermediate value theorem.(b.) Prove that there is some number x such that x2 + x − 1 = 0.
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Solution 1

(a.) The Intermediate Value Theorem states that if a function f is continuous on a closed interval [a, b] and k is any number between f(a) and f(b), then there exists at least one number c in the interval [a, b] such that f(c) = k.

(b.) To prove that there is some number x such that x^2 + x - 1 = 0 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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