Tuesday, September 15, 2009

1.1 Power Functions (Summary)

Polynomial Functions: has independent variable "x" raised to non-negative integer exponent
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

3 comments:

  1. oOOOoo. awesome note !
    organized and straightforward. just the way i like them.

    : )

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

    ReplyDelete
  3. this blog saved my life....THANK YOU SO MUCH

    ReplyDelete

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