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So, what do you think would happen with this guy?

f ( x ) = x^5 + some x stuff

The tails do the same as for x^3

It can cross the x-axis 5 times.

graph of f ( x ) = x^5 + some x stuff

 


YOUR TURN:

Graph these on a graphing calculator:

f ( x ) = x^7

f ( x ) = -x^7

Draw a rough sketch of

f ( x ) = -x^7 + some x stuff