The Intermediate Value Theorem can be used to approximate a root. The following is an example of binary search in computer science. Suppose you want to approximate V8. You know that it is between 2 and 3. If you consider the function f(x) = r? – 8, then note that f(2) < 0 and f(3) > 0. Therefore by the Intermediate Value Theorem, there is a value, 2
The Intermediate Value Theorem can be used to approximate a root. The following is an example of binary search in computer science. Suppose you want to approximate V8. You know that it is between 2 and 3. If you consider the function f(x) = r? – 8, then note that f(2) < 0 and f(3) > 0. Therefore by the Intermediate Value Theorem, there is a value, 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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