Asked by Joe

Consider the interval I=[6,7.6]. Break I into four subintervals of length 0.4, namely the four subintervals

[6,6.4],[6.4,6.8],[6.8,7.2],[7.2,7.6].

Suppose that f(6)=19, f′(6)=0, f′(6.4)=−0.5, f′(6.8)=−0.1, and f′(7.2)=−0.1. What is the approximate value of f(7.6)?

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