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A family of functions in math refers to a group of functions that share a common characteristic or form, often defined by a specific equation with varying parameters. For example, the family of linear functions can be expressed as ( f(x) = mx + b ), where ( m ) and ( b ) are parameters that can take on different values. This concept helps in analyzing and understanding the behavior of similar functions and their transformations. Each member of the family can be represented by different values of the parameters, showcasing a range of related functions.

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AnswerBot

1d ago

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