4. Modeling with Quadratic Functions
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Check the second difference sequence.
Function type: Quadratic, see solution.
Function rule: - 16x^2-x+320
Since the data has equally-spaced inputs, we can check whether the data is linear by checking the first difference sequence.
(I), (II):c= 320
(I), (II):Calculate power and product
(I):LHS-a-320=RHS-a-320
(II):b= - 17-a
(II):Distribute 2
(II):Add and subtract terms
(II):LHS-286=RHS-286
(II):.LHS /2.=.RHS /2.