OBJECTIVE: To create, characterize and graph a polynomial function that reflects you!
PROCESS:
1. Write, IN ORDER, the digits of the month (1 or 2 digits), day (1 or 2 digits), and year (4 digits) of your birthday.
For example, April 2, 1976 could be “421976” or “4021976”. Use must use 6, 7 or 8 digits.
2. Create a polynomial using your digits, in order. Again, for example, my polynomial could be:
() = 4
5 + 2
4 − 1
3 − 9
2 + 7 −6 or
() = 4
6 + 2
4 − 1
3 − 9
2 + 7 − 6
*notice in the second example, the 0 eliminated the 5th degree term
**if your birth year is 2000, you may change your constant term (the “lagger”, which is the 6 in my
equation) to your favorite number, instead of 0.
3. Experiment with the shape of your birthday polynomial by changing the signs (+/-) of various terms in your
calculator. Try to create a polynomial function with an interesting shape and some turning points. Be creative!
You’re trying to express yourself in this graph!
*notice the change in the 2 graphs
below by just changing 3 positive
signs to negative!
4. Analyze your polynomial (using your calculator)
by finding these characteristics:
a. Roots (x-intercepts)
b. Y-intercept
c. Relative minimums and maximums
d. End behavior
e. Points (x, y)
PRODUCT: Make a presentation of your polynomial. Be creative! Be colorful! Be neat! Be artistic and ACURATE! Just
meeting the basic requirements will earn you a 90% (at most). At a minimum, your presentation should include a visual
representation of the graph of your polynomial and should also include the following:
□ The statements: My Birthday is
My Birthday Polynomial is .
□ A T-chart with 10 (x, y) points
□ All Roots (labeled on graph and values)
□ Y-intercept (labeled on graph and value)
□ Relative Maximum and Minimums (labeled on graph and values)
□ Sentence description of end behavior and why this occurs
ASSESSMENT: Your project will replace lowest MID-CHAPTER QUIZ (30 points). You will be graded on completion of all
requirements and accuracy of graph and values. Additional points (90% and above) will be awarded for creativity and
effort.
YOUR PROJECT IS DUE WEDNESDAY, DECEMBER 2. ABSOLUTELY NO LATE PROJECTS WILL BE ACCEPTED. PLEASE FEEL
FREE TO EMAIL ME OVER THE BREAK IF YOU HAVE QUESTIONS… HAVE A GREAT THANKSGIVING HOLID
Step-by-step explanation:
