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So, what would this guy look like?

f ( x ) = -x^3 + some x stuff 
basic shape and the ( - ) flips it up-side-down

rough sketch of f ( x ) = -x^3 + some x stuff

So, that was Cubed Guy...

What about f ( x ) = x^5?

Check him out on the graphing calculator!  I'll wait.

graph of f ( x ) = x^5

Just like   f ( x ) = x^4looked
like  f ( x ) = x^2, this guy
looks a lot like Standard Cubic Guy, but his shoulders are wider.  (You can graph both on the calculator to compare!)

 

 

 

The important thing is that the tails do the same thing as they did with Standard Cubic Guy.