Definition 8.1.1: Function Family
A family of functions is defined as a function of two variables
f: D x S
R,
D
R
where the second variable is called parameter. A family of functions
is usually written as
{ fc(x) },
where the variable
x
D
and the parameter
c
S.
The set D is called the domain of the function family, while
S is the parameter set for the family.



