SOLVE THROUGH EXCEL AND PROVIDE SCREENSHOTS

5. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 7. 1 3 X f(x) -5 29.6 -5.53 26.84 5 9 56.85 51.23 6. Fit the following data points using Newton's Divided Difference Interpolating polynomial. Show the step-by-step divided difference up to the last forward finite divided difference. Do not simplify the final function. Determine the function at x = 9. -4 -2 0 2 4 0.705 26.485 18.025 X f(x) 7 -10.035 -43.055 -69.86 11 13.68 5. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 7. 1 3 X f(x) -5 29.6 -5.53 26.84 5 9 56.85 51.23 6. Fit the following data points using Newton's Divided Difference Interpolating polynomial. Show the step-by-step divided difference up to the last forward finite divided difference. Do not simplify the final function. Determine the function at x = 9. -4 -2 0 2 4 0.705 26.485 18.025 X f(x) 7 -10.035 -43.055 -69.86 11 13.68