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What are families of functions and how are they useful?

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A family of functions is a set of functions defined by the same type of formula - we can talk about the polynomial family, or 2nd degree polynomial family, or the family of sinusoidal functions.

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A family of functions is a set of functions defined by the same type of formula - we can talk about the polynomial family, or 2nd degree polynomial family, or the family of sinusoidal functions.

Alternatively, we can define a family by a formula that involves the argument and one or more parameters. For each specific value of the parameter(s) we'll then get one function in the family.
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