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2 cards from this section. Quick, good the night before a test.
What is the primary purpose of Lagrange’s Interpolation Formula?
Think about why we need interpolation.
What type of data spacing does Lagrange’s formula work with?
Recall the differences from other interpolation methods.
What does Lagrange's Interpolation Formula primarily deal with?
Recall the definition of the formula.
True or False: Lagrange's Interpolation Formula requires data points to be laid out in equal distances.
Think about what sets it apart from other methods.
Given the following points: (2, 7), (3, 19), (5, 47), calculate f(4) using Lagrange’s Interpolation Formula and show your work.
Identify which points to use and carefully apply the Lagrange formula.
Discuss the potential pitfalls of using Lagrange's method for large datasets. Provide examples.
Consider what happens with increased numbers of points in terms of polynomial behavior.
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