**Using Graphing Calculator 3.2 to investigate**

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**I graphed the four
equations below. **

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**The purple circle
corresponds with **

And the blue graph that looks more like a square than a circle corresponds with
the equation

So the odd number powers graph to curve around the upper right hand corner of
the square and circular graphs.

Here n= 2, 3, 4, 5

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**This leads me to believe that **

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will be closer to a square shape than the other even powered equations. This is verified in the table below.

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fits around the upper right hand corner.

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This relationship between even and odd powers continues with the graphs becoming more angular and square as the numerical value of the powers increase.

**A bigger question here
would be: Is there a limit when the curves no longer get more angular and
square?**