6.2.5 Curve Fitting with Polynomial Models - Worksheet
Example 1: Use finite differences to determine the degree of the polynomial that best describes the data. 1. x y 2. 3.
x y − 2 23 − 1 − 2 0 1 1 2 2 − 5 3 − 2
x y − 2 0 − 1 − 5 0 − 3 1 5 2 18 3 35
− 2 22 − 1 16 0 10 1 4 2 − 2 3 − 8
Example 2: 4. The table below shows the number of square feet of retail space available for rent in various years. Write a cubic polynomial function for the data. Year 1994 1995 1996 1997 1998 1999 Retail Space (billion ft 2 ) 4.86 4.97 5.10 5.23 5.33 5.46
Example 3: 5. The table below shows the number of infected patients at various stages of a flu outbreak. Use a polynomial model to estimate the number of infected patients after 120 hours. Time (h) 12 24 48 96 144 240 Patients 21 301 679 973 562 320
83
Made with FlippingBook - Share PDF online