Algebra

what kind of function best models the data in the table use differences and ratios.

x y
0 4
1 5
2 8
3 13
4 20

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asked by Paige
  1. differences:
    1 3 5 7
    2 2 2

    so, the function is a quadratic

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    posted by Steve
  2. x y 1stdiff -- 2nddiff
    0 4
    1 5 -- 1 -----
    2 8 -- 3 ----- 2
    3 13 --5 ----- 2
    4 20 --7 ----- 2

    since the 2nd difference is a constant, it must be a quadratic, or 2nd degree function

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    posted by Reiny
  3. Ok thank you!

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    posted by Paige

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