Consider the data points: (0,1), (1,1), (2,5)

a) Find the piecewise linear interpolationg functon for the data

b) Find the quadratic interpolating

c) Find the natural cubic spline that interpolates the data..

---

I can do part b) , but in a) how do you do a piecewise? And if someone could do c) out entirerly & explain I'd really appreciate it.