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Parent Function

Concept

Parent Function

A function family is a group of functions that have similar characteristics. A parent function is the most basic function in a function family. One example of a function family is the linear functions. All linear functions have a constant rate of change.

The linear parent function is f(x)=x. f(x)=x. Notice that its slope is 11 and its yy-intercept is (0,1).(0,1). Functions that belong to a family of functions are all transformations of the parent function.