Select each statement that is true.

One of the benefits of using cubic splines is that they are smooth, but low order in order to decrease the chance of artifacts in the approximation.

Interpolation is always well$-$defined as an algorithm.

The direct method of polynomial interpolation presented in class can only be applied to a data set with an odd number of nodes.

High order interpolation polynomials might be more accurate, but they also carry an increased likelihood of including artifacts that will be detrimental to the results.