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By calculating the Finite differences, determine a) which type of polynomial function best models this relationship. x | y -2 1 -1 0 0 1 1 16 2 81 3 256 4 625
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1 2 3 4 5 --------------------------- 1 -1 +2 +12 +24 0 +1 +14 +36 +24 1 +15 +50 +60 +24 16 +65 +110 +84 ^^^^^^ it takes 5 times to get 81 +175 +194 this to pan out the same; 256 +369 this function could be a quartic ? 625
something akin to this: \[x^5+x^4+x^3+x^2+x+c\]
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