6.2 Review Worksheet, Part 2 (continued)
12. The volume of a rectangular prism can be modeled by the function V ( x ) = x 3 + 3 x 2 + x + 8, where V is the volume in cubic meters and x represents length in meters. Describe the transformation 2 3 by writing the new rule and explaining the change in the context of the problem. V x
6.2.5 Curve Fitting with Polynomial Models Use finite differences to determine the degree of the polynomial that best describes the data. 13. x y − 5 − 20 − 4 − 19 − 3 − 9 14. x y − 2 − 2 − 1 − 6 15. x y − 2
− 3 − 1 1 0 4.3 1 6.9 2 8.8 3 10
0 0 1 10 2 20 3 28
− 2 5.5 − 1 20 0 30
16. The table below shows the number of Chess Club members in various years. Write a polynomial function for the data. Year 2002 2003 2004 2005 2006 2007 Members 23 23 23 25 29 35
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