Question 1
What is the main idea of piecewise interpolation?
Question 2
What is a breakpoint, or knot, in piecewise interpolation?
Question 3
Why do numerical analysts often prefer piecewise interpolation to one very high-degree polynomial through all the data?
Question 4
For a piecewise linear interpolant, what degree polynomial is used on each subinterval?
Question 5
If a piecewise interpolant is continuous at every join point, what must be true at each join point?
