Power Functions Click here to open an associated Mathcad worksheet:

Graphic Representation

Power functions take many forms.

Graphs of  y = a x b  are simple forms of polynomials when the power is a positive integer. They are simple forms of rational functions when the power is a negative integer.

Fractional powers provide further forms.

Points where power functions exhibit specific behaviors are described using terminology such as:

The above graphs show just a few of the members of the family of power functions. To see how these and other power graphs can be created by tuning the family's parameters, see the associated worksheet.

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