Lagrange Interpolation code

Lagrange Interpolation

a) Write a Matlab function that produces a fourth-order accurate Lagrange
interpolation f4 (x) for a function f in the point x , given the points x0 , x1 , x2 , x3 , x4
and the values f(x0 ), f(x1 ), f(x2 ), f(x3 ), f(x4 ) .
b) Given 
f(?1/2 ) = ?1, f(?1/6 ) = ?1/2 , f(0) = 0, f(1/6) =1/2 , f(1/2 ) =1, show that these values
indicate that f could be an odd function. Use your Matlab function to find the
fourth-order interpolation at x=1/3 and the fourth-order extrapolation at x =1.
Would the extrapolation be accurate (explain)?

Answer 1

[Matt Fig]

As Paulo indicates, MATLAB Answers is not a Homework solving service. However, if you show some effort (code) and ask specific questions regarding the use of MATLAB to solve your problem, then you will most likely receive help.

[reem]

Yes this is true

Answer 2

[Paulo Silva]

Here's a great resource to help you with your homework

Answer 3

[Matt Tearle]

Hmm, maybe you should form a study group with buxZED...?