Chapter B.4, Problem 35E

The following table was obtained from the function $f\left(x\right)=\sqrt{x}$:

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