Using Matlab

Interpolation Use the Newton algorithm (divided difference method) to develop, by hand, a polynomial that interpolates the values on the following table: index 0 1 2 3 4 X 0 1 2 -2 fix) 1 -3 -12 32 -8 Submit the work done to develop the polynomial (i.e. the complete divided difference table). Then write an anonymous function for this polynomial (in the Newton form) and plot it from -2.2 to 22 in increments of 0.2. Also plot the five given points as dots on this plot. Then use the inverse interpolation method, with your anonymous function, to determine x for the f(x) = -5: provide this answer and include this on your plot as a "+" symbol. Interpolation Use the Newton algorithm (divided difference method) to develop, by hand, a polynomial that interpolates the values on the following table: index 0 1 2 3 4 X 0 1 2 -2 fix) 1 -3 -12 32 -8 Submit the work done to develop the polynomial (i.e. the complete divided difference table). Then write an anonymous function for this polynomial (in the Newton form) and plot it from -2.2 to 22 in increments of 0.2. Also plot the five given points as dots on this plot. Then use the inverse interpolation method, with your anonymous function, to determine x for the f(x) = -5: provide this answer and include this on your plot as a "+" symbol