With regard to discriminant functions delta_k(x) and conditional densities f_k(x) for classification, all of the following statements are true, EXCEPT:

Group of answer choices

A. There exists a discriminant function for each class.

B. In linear discriminant analysis, the input space is divided into regions of constant classification, with piecewise hyperplanar decision boundaries.

C. A boundary between classes j and k exists for all x wherever f_j(x) = f_k(x).

D. An observation x is assigned to class k if delta_k(x) <= delta_j(x) for all j.