7% M3: Performance Assessment (SUM) %3 M6: Project (SUM) aw lodule 3 Performance Assessment -... w3 S sions Help - =+ (= Yo v i= v =~ & lormal text v | Trebu.. ~ '+ BE 7 U A 2l it FE] DU E= == : 6 \\._\"'Y'._.._LL_._JL.._.L_..JZ.L..JL..,,L,l..,'.'L,Ll.l'?,uu_.t_,_.,_,r,.\"._.[ \\ Name: Algebra 2 \\ M6 Project: Birthday Polynomial | The Birthday Polynomial Project \" Task: To create, characterize, graph, and present a polynomial function that represents your birthday. APRIL 2 2007 | \\ \\ Process: You will be using your birthdate to create your very own birthday polynomial. Identify 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, | was born on May 11, 1979, so my ordered birthday digits are \"5111979.\" (The most | number of digits you could have is 8, and the least number of digits you can have is 6). If your ' birthdate is January 3, 1998, then your digits would be \"131998\" or \"1031998\". 1. Create a polynomial using your digits in order. Experiment with the shape of your birthday polynomial by changing the signs of your various terms. Try to create a polynomial function with " an interesting shape and some turning points. The more curves, mountains, valleys, and wiggly ] places the graph has, the more \"interesting\" your polynomial function will be. J Again, for example, my polynomial could be: ' Birthdate(x) = SxTi e + 95 7x 4:59 f Insert the equation of your polynomial and a screenshot of the graph in the box below. Answer: | ensions Help Normal text Trebu... 12 + BIUA OCH WEBEX BE. 2. Analyze your polynomial by finding these characteristics: a. Domain and range of your function Answer: b. The y-intercept Answer: c. Maximums and minimums Answer: MacBook Air 30 988 DD DII DD F3 F4 F5 F6 F7 F8 F9 # $ % & Sk 4 5 6 V 8 9 E R T Y U D F G H C Ksions Help Normal text Trebu... 12 + B 1 3 5 6 7 d. Intervals over which the function is increasing and decreasing Answer: e. A description of the end behavior (use limits to describe it) Answer: f. All POSSIBLE rational zeros and then the number of real zeros and imaginary zeros Answer: g. State the number of complex zeros and then the number of real zeros and imaginary zeros Answer: MacBook Air 80 988 DII DD F3 F4 F5 F6 F7 F8 F9 $ % > & 4 5 6 8 E R T Y U O D F G H C KHelp al text Trebu... 12 + BIUAOC + M B BE X B . . 1 LL 2 h. Find all real zeros accurate to three decimal places Answer: i. Intervals over which Birthdate x > 0 and which Birthdate x