Graphing Polynomials Birthday Project
Due Friday 11/14/14 (10 points will be deducted if not turned in on time)
My birthday is ________________. My graph is a ____ degree
polynomial with end behavior that behaves such that
_______________________________. It has solutions at ________. A
possible equation for it is _______. It has ____ minimums and ____
maximums. It’s domain is _________________ while an approximate
range is ________________.
Birthday Project
Your graphing assignment will be a solo project where you create your personal
birthday polynomial. Use the digits of the month, day and 4 digit year of your birth –
in order – as the coefficients of the polynomial. (For example: If your birthday is
August 13, 1991, then use the digits 8131991 in that order) The degree of your
5
polynomial must be a whole number greater than 2 and less than 6. (Ex. f(x)=8x
4
3
2
−1x −3x +19x −9x+1) Change the signs of the coefficients to make the most
interesting graph you can – one that in some way reflects you.
You will then need to analyze the polynomial by finding the following: 1) domain
and range 2) the degree
3) all of the zeros [estimate these using a graphing
calculator] 4) describe the end behavior 5) the relative extrema [estimate these
using a graphing calculator]
Lastly, you must make a Presentation of Your Birthday Polynomial on either a nice
piece of paper or poster. Be creative and original. How does the graph of this
polynomial reflect who you are? Present your birthday polynomial neatly,
accurately and artistically. A written analysis (in paragraph form see above) of
your polynomial will be turned in with the visual.
Points: Birthday equation and graph (by hand): 10 points
The analysis is complete and accurate: 30 points
Overall presentation is creative, interesting, neat, and colorful: 10 points
Examples: