Question: Numerical Methods Question: (WILL NEED MATLAB) Suppose we want to approximate the function e x on the interval [0,1] by using polynomial interpolation with x

Numerical Methods Question: (WILL NEED MATLAB)

Suppose we want to approximate the function e^x on the interval [0,1] by using polynomial interpolation with x₀=0,

x₁=1/2 and x₂=1. Let p₂(x) denote the interpolating polynomial.

(a) Find an upper bound for the error magnitude

Numerical Methods Question: (WILL NEED MATLAB) Suppose we want to approximate the

(b) Find the interpolationg polynomial using your favorite technique.

(d) Plot the error magnitude function ex on the interval [0,1] by using polynomial interpolation with x0=0, on the interval using logarithmic scale (the command semilogy) and verify by inspection that it is below the bound you found in part (a).

max e p2(T)

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