K The following table has the inputs, x, and the outputs for two functions, f and g. Use third differences to determine whether a cubic function exactly fits the data with input x and output g(x). 0 1 1 0.4 X f(x) g(x) Complete the table below to find the third differences. Outputs 0 0.4 First Differences 0.4 0 0 Second Differences Third Differences (Type integers or decimals.) 2,8 2 1 9.2 □ 7 21.6 6.4 ☐ 20.4 6 0 1 42 2 6 28 3 26 9.2 4 63 21.6 5 114 42 10

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