4. Interpolation I

Lagrange Form — Quiz

Test your understanding of lagrange form with 5 practice questions.

Practice Questions

Question 1

What is the main purpose of Lagrange form in numerical interpolation?

Question 2

If $n+1$ distinct data points are given, what is the highest possible degree of the Lagrange interpolating polynomial?

Question 3

Which property must the Lagrange basis polynomials satisfy?

Question 4

Using the points $(0,1)$ and $(2,5)$, what is the interpolating polynomial's value at $x=1$?

Question 5

In the Lagrange formula $P(x)=\sum_{i=0}^n y_iL_i(x)$, what do the values $y_i$ represent?