Power Functions - Maple Help
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Power Functions

Main Concept

Power functions of the form   are basic functions from which many other functions can be derived by applying transformations. For example, the function  can be rearranged to the form . The associated graph is the graph of   shifted to the right 2 units and up 3 units.

 

Some of the most common power functions are: the constant function , () the identity function , the quadratic function , the cubic function , the square root function  , the cube root function , the reciprocal function  and the reciprocal of the quadratic function .

 

Examine the graphs and properties of some elementary functions.

 

Properties:

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