Intermediate value theorem
8:05
Khan Academy
Intermediate value theorem
Discover the Intermediate Value Theorem, a fundamental concept in calculus that states if a function is continuous over a closed interval [a, b], it encompasses every value between f(a) and f(b) within that range. Dive into this foundational theorem and explore its connection to continuous functions and their behavior on intervals.
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Using the Intermediate Value Theorem In Exercises 89-94, use the Intermediate Value Theorem and a graphing utility to approximate the zero of the function in the interval [0, 1]. Repeatedly "zoom in" on the graph of the function to approximate the zero accurate to two decimal places. Use the zero or root feature of the graphing utility to approximate the zero accurate to four decimal places. g(t)=2 cost-3 t | Numerade
Using the Intermediate Value Theorem In Exercises 89-94, use the Intermediate Value Theorem and a graphing utility to approximate the zero of the function in the interval [0, 1]. Repeatedly "zoom in" on the graph of the function to approximate the zero accurate to two decimal places. Use the zero or root feature of the graphing utility to approximate the zero accurate to four decimal places. g(t)=2 cost-3 t | Numerade
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SOLVED: Use the Intermediate Value Theorem to show that at least one zero lies in the given interva for the given polynomial: f(x) = x Tx 1, between X - 2 and X = 3Substitute X = f(2) f(3)and X = 3 into the function and simplify:Interpret the results using the Intermediate Value Theorem Because f is polynomial function and since f(2)Select–and f(3)Select-there is at least one real zero betweenand
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