Assignment One

Exploring Graphs

Claudette Tucker

6. Graph the following:
   

What do you expect for the graph of

or

?



We want to examine the graphs of (a) through (e), noted above, and we will use our observations to draw a conclusion regarding and .


First, let's examine the graph of each expression in (a) through (e).

 

 

 

 

 
 

 

 

 

 

 


If we observed each graph carefully, it seems as though there is some type of relationship between the graph with even exponents and the ones of odd exponents. Let's see if we can form an educated guess by looking at the graphs of all even exponents together and all equations with odd exponents graphed together.


Exploration of even and odd exponents

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