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9 December, 17:58

Use the following graph of the function f (x) = 2x3 + x2 - 3x + 1 to answer this question: graph of 2x cubed plus x squared minus 3x plus 1 What is the average rate of change from x = - 2 to x = 0?

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  1. 9 December, 20:51
    0
    The formula for the Average Rate of Change of a function is given by:

    (f (x2) - f (x1)) / (x2 - x1)

    We have then:

    x1 = - 2

    x2 = 0

    Evaluating the function we have:

    For x1 = - 2:

    f (-2) = 2 * ( - 2) ^ 3 + (-2) ^ 2 - 3 * ( - 2) + 1

    f (-2) = - 5

    For x2 = 0:

    f (0) = 2 * (0) ^ 3 + (0) ^ 2 - 3 * (0) + 1

    f (0) = 1

    Then, replacing values we have:

    (1 - (-5)) / (0 - (-2))

    (1 + 5) / (0 + 2)

    6/2

    3

    Answer:

    the average rate of change from x = - 2 to x = 0 is:

    3
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