The following table was obtained from the function f(x) = 2x: Find the interpolating polynomial for this

Question:

The following table was obtained from the function f(x) = 2x:

X f(x) 1 1 4 2 9 3

Find the interpolating polynomial for this table. Compare the values of the interpolating polynomial p(x) and the original function f(x) = √x by completing the table below. Use a calculator to evaluate √x and round each value to one decimal place.

X 1 2 p(x) 1 Vx 1 3 4 2 2 5 6 7 8 9 3 3