Mathematics

Mathematics

Problem

Suppose a continuous function hh satisfies h(2)=−3h(2)=-3, h(3.5)=−1h(3.5)=-1, and h(5)=4h(5)=4. Beginning with the interval [2,5][2,5], one iteration of the bisection method is performed. Which subinterval is then guaranteed to contain a real root of hh? a) [2,3.5][2,3.5] b) [3,5][3,5] c) [3.5,5][3.5,5] d) [2,3][2,3]

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