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#9) Take home T/3 A/3 Using the tables on the next attached sheet: 1: Find your function, find your average rate of change interval, and
#9) Take home T/3 A/3 Using the tables on the next attached sheet: 1: Find your function, find your average rate of change interval, and your instantaneous rate of change point. 2: Evaluate the function at each end of the interval, and at the instantaneous rate of change point. 3:Calculate the average rate of change over the given interval, and the instantaneous rate of change at the given point. For example, the person "Extra 1" would use function #14, f(x) = 10 Vx3 . They'd use interval #14, x E (4, 6) for the Average Rate of Change, and Point #2, (2.5) to find the Instantaneous Rate of Change. Complete this Chart: Function f(left side of interval) f(right side of interval) f(instantaneous rate of change point) Average Rate of Change Instantaneous Rate of Change For the Person "Extra 1" is you would do this: Function: f (x) = 10 Vx3 ; AROC Interval ; IROC Point x = 2.5 Function f ( xx ) = 10 Vx3 f(4) f (4) = 10 143 = 80 f(6) f (6) = 10 V63 = 146.969 f ( 2.5) f (6) = 10 V2.53 = 39.528 Average Rate of Change 33.48 Instantaneous Rate of 23.72 ChangeBy using Function: f (2 ) = 20 / 2 Average rate of Change Interval oc E (2, 4 ) Instantancows rate of change point S. 5
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