Ending Behavior: how the graph behaves as we look at very small and large values of x

Click on image to see the summary of Odd Degree Functions vs. Even Degree Functions

To Conclude:

By looking at the "leading coefficent" of a polynomial and the degree, it can determine the behavior of the graph

Even Degree Function:

- same end behavior
- act similarly to y=x^2 (and y= -x^2)
- can reflect on y-axis and reflect onto itself
- ex. y = 7x^8 + 6x^2 + 16

Odd Degree Function

- opposite end behavior
- act similarly to y= x (and y= -x)
- can be reflected in the y-axis followed by a reflection in the x-axis and be back to its original location
- ex. y = 12x^5 + 4x^2 + 19

oOOOoo. awesome note !

ReplyDeleteorganized and straightforward. just the way i like them.

: )

Thanks for taking the lead on the first post Vicky. I enjoyed the addition of the visuals!

ReplyDeletethis blog saved my life....THANK YOU SO MUCH

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