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A function  is continuous over the interval and has values that are given in the table at right.

  1. Using the sub-intervals , and , what is the trapezoidal approximation of ?

    The Trapezoid Rule

    The Trapezoid Rule can be used to approximate the area under a curve if the widths, , of all trapezoids are of equal size:

  2. Over which sub-interval is the average slope a minimum?




Test all answer choices and choose the lowest value. Recall that average slope is akin to saying average rate of change (AROC).