Quote:
Originally Posted by ripande
a). As I understand, a possible target function is the one that agrees with all the 5 points that are stated in the problem.
b). However, the questions says that the possible target functions are 8 ( all permulations of the remaining 3 points with their possible outputs ).
I am unable to relate the above two definitions of the "possible target function".

A target function is defined on all 8 points. To be a possible target function given that it generated the data set of 5 points, it has to agree with these points since it generated them. This leaves 3 points which can assume any values and still make the function a possible target function. Since there are 8 possible combinations of values on these 3 points, this gives us 8 distinct functions all of which are possible target functions.