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14 December, 00:00

The table below shows the function f. x 1 2 3 4 5 f (x) - 63 - 44? - 6 13 Determine the value of f (3) that will lead to an average rate of change of 19 over the interval [3, 5]. A. 32 B. 25 C. - 25 D. - 32

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  1. 14 December, 03:22
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    C. - 25

    Step-by-step explanation:

    x 1 2 3 4 5

    f (x) - 63 - 44? - 6 13

    Rate of change : (-44 + 63) / (2 - 1) = 19

    so

    -63 + 19 = - 44

    - 44 + 19 = - 25

    - 25 + 19 = - 6

    - 6 + 19 = 13

    Answer: f (3) = - 25
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