6.9 Modeling With Polynomial Functions

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Presentation transcript:

6.9 Modeling With Polynomial Functions

Polynomial Modeling With Technology The table shows data on the increase in girth of a tee in a redwood forest over a 10-week period. Week Increase (mm) 0.34 2 0.35 4 0.37 6 0.31 8 0.18 10

Polynomial Modeling With Technology Find a quartic model for the data. Use the model you found in part (a) to estimate the increase in girth in week 5. In which week was the increase in girt about 0.25 mm?

Find a polynomial that fits the data. 1) 2) 3) 4) x 1 2 3 4 5 6 f(x) 9 14 20 27 x 1 2 3 4 5 6 f(x) 9 27 63 123 x 1 2 3 4 5 6 f(x) 16 43 92 169 280 x 1 2 3 4 5 6 f(x) 15 55 141 291 523