4. Interpolation I

Newton Divided Differences — Quiz

Test your understanding of newton divided differences with 5 practice questions.

Practice Questions

Question 1

What is the formula for the first divided difference $f[x_0,x_1]$?

Question 2

For divided differences to be defined, what condition should the nodes $x_0,x_1,\dots,x_n$ satisfy?

Question 3

Suppose $f(1)=2$ and $f(3)=8$. What is the value of $f[1,3]$?

Question 4

Suppose $f(0)=1$, $f(1)=3$, and $f(2)=7$. What is the second divided difference $f[0,1,2]$?

Question 5

Which expression is the Newton interpolating polynomial of degree $2$ through the nodes $x_0$, $x_1$, and $x_2$?