4. Interpolation I

Polynomial Interpolation — Quiz

Test your understanding of polynomial interpolation with 5 practice questions.

Practice Questions

Question 1

What is the main goal of polynomial interpolation?

Question 2

How many data points with distinct $x$-values are needed to determine a unique polynomial of degree at most $3$?

Question 3

If $p(x)$ interpolates data $(x_i,y_i)$, what must be true at each node?

Question 4

Which condition is necessary for the standard interpolation problem to have a unique polynomial of degree at most $n$?

Question 5

In the Lagrange form, what is the defining property of the basis polynomial $L_k(x)$?