Take $3$ points as data.

Use cubic spline interpolation, find best fitted

curve $($piecewise function$)$ for these points

Take a new value for x and calculate the output

by using piecewise function you created.

Don't take same data, they will not be graded.

Don't use Al$,$ and don$$t explain the steps rather solve the question in the steps indicated in the image

Show each step explicitly, brief answers will

not be accepted.