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Defining Average and Instantaneous Rates of Change

AP Calculus AB· difficulty 2/5

x (1,2) (7,10)

Average rate of change of ff on [1,7][1, 7] equals:

  • A

    34\tfrac{3}{4}

  • B

    43\tfrac{4}{3}

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  • C

    66

  • D

    88

Explanation

f(7)−f(1)7−1=10−26=86=43\frac{f(7)-f(1)}{7-1} = \frac{10-2}{6} = \frac{8}{6} = \frac{4}{3}.

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