# 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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2. 👎 0
3. 👁 788
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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2. 👎 0
posted by Paige

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