A graphing calculator can be used to calculate a divided difference table. Figure 5A shows a program on a TI-84 Plus CE that calculates divided difference tables and Figure 5B shows the input and output generated when we use this program to solve Example 3.

Enter this program into your graphing calculator and use it to solve Matched Problem 3.

Data from Example 3

Find the divided difference table for the points in Table 7.

Use the divided difference table to find the interpolating polynomial.

Data from Matched Problem 3

Find the divided difference table for the points in Table 8.

Use the divided difference table to find the interpolating polynomial.

Transcribed Image Text:

INTERP PROGRAM: BL2 L3 dim(L3) M For(I, 2, M, 1) ForJ. M. I, -1) (L3CJ) L3 (J-1>> /CL₁ (J)-L1 (J-I+1 >>+L3 End End: Pause L3 (A) Program Figure 5 2 (0, 1,2,3,4)*L1 (0 1 2 3 4) (35, 25, 19, -7, -29 +Lz (35 25 19 -7 -2... PromINTERP (35 -10 2 -4 20 (B) Input and output