Question 3. Use Intermediate Value Theorem to find approximate value for v5 by completing the following steps: 1) It is clear that 2 = V4 < v5 < v9 = 3, and one of the intervals containing V5 is [2,3]. Since both of the exact value and the approximate value of v5 are in the same interval [a, b] we conclude that Maximum absolute error < width ofthe interval = b - a 2) Find a function f(x) for which 5 is a zero of. That is, f(v5) = 0. 3) Find, which half of the interval [2,3] contains 5 by applying Intermediate Value Theorem. Repeat several times the process of halving the interval and applying Intermediate Value Theorem to have better interval approximation of v5. Calculate the Maximum absolute error for each of new interval. 4) Stop the procedure when the Maximum absolute error <1/8 5) Compare your approximation with the answer of a calculator to v5.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.