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27 July, 07:33

Use the following graph of the function f (x) = 3x4 - x3 + 3x2 + x - 3 to answer this question: graph of 3 x to the fourth, minus x cubed, plus 3 x squared, plus x minus 3 What is the average rate of change from x = 0 to x = 1

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  1. 27 July, 10:43
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    F (x) = 3x^4 - x³ + 3x² + x - 3

    x = 0f (0) = 3 (0) ^4 - 0³ + 3 (0²) + 0 - 3f (0) = 0 - 0 + 0 + 0 - 3f (0) = - 3

    f (1) = 3 (1) ^4 - 1³ + 3 (1²) + 1 - 3f (1) = 3 - 1 + 3 + 1 - 3f (1) = 7 - 4f (1) = 3

    x = 0 : f (0) = - 3x = 1; f (1) = 3

    1 - 0 / 3 - (-3) = 1 / 6
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