Task 05
Task 05ΒΆ
deadline: 28/03/2021 23:59 CET
[0.5 points]: Approximate the function
\[\begin{split}
f(x) =
\begin{cases}
-1 & \text{if $ x \leq 5 $} \\
1 & \text{if $ x > 5 $}
\end{cases}
\end{split}\]
in the \( [0, 10] \) interval with the Lagrange interpolating polynomial using the roots of the \( 10 \)-th degree Chebyshev polynomial (you may use the scipy.interpolate.lagrange and scipy.special.roots_chebyt functions). Print the interpolating polynomial.
[0.5 points]: Plot the function \( f(x) \), the interpolating polynomial, and the absolute error of the approximation.
# add your code here