Explanation Given Information: The function is f ( x ) = 4 − x − 2 x 2 over [ 1 , 6 ] . Formula used: The average rate of change from x = a to x = b of a function y = f ( x ) is given by Average rate of change = f ( b ) − f ( a ) b − a Calculation: Consider the provided function, f ( x ) = 4 − x − 2 x 2 For x = 1 , substitute 1 for x , f ( 1 ) = 4 − 1 − 2 ( 1 ) 2 = 3 − 2 ( 1 ) = 3 − 2 = 1 For x = 6 , substitute 6 for x , f ( 6 ) = 4

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ISBN: 9781305713864

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 9, Problem 7T

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To calculate: The average rate of change of f(x)=4−x−2x2 over [1,6].

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Chapter 9, Problem 6T

Chapter 9, Problem 9T

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The average rate of change of f ( x ) = 4 − x − 2 x 2 over [ 1 , 6 ] .

Solution Summary: The author calculates the average rate of change of f(x)=4-x-2x

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To calculate: The average rate of change of f(x)=4−x−2x2 over [1,6].

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