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12 January, 08:21

Study this table. x y - 3 - 2 - 2 0 0 4 4 12 Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common first difference of 2 quadratic with a common ratio of 2 quadratic with a common first difference of 2

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  1. 12 January, 08:40
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    X1=-3, y1=-2

    x2=-2, y2=0

    x3=0, y3=4

    x4=4, y4=12

    r12 = (y2-y1) / (x2-x1)

    r12 = (0 - (-2)) / (-2 - (-3))

    r12 = (0+2) / (-2+3)

    r12 = (2) / (1)

    r12=2

    r23 = (y3-y2) / (x3-x2)

    r23 = (4-0) / (0 - (-2))

    r23 = (4) / (0+2)

    r23 = (4) / (2)

    r23=2

    r34 = (y4-y3) / (x4-x3)

    r34 = (12-4) / (4-0)

    r34 = (8) / (4)

    r34=2

    r12=r23=r34=2→Common ratio: r=2

    Answer: First option: linear with a common ratio of 2
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