Twelve Basic Functions Project



Twelve Basic Functions ProjectWhat you should learn:What Graphs Can Tell UsTwelve Basic FunctionsHow to Analyze Functions GraphicallyOverview:As you continue to study mathematics, you will find that the Twelve Basic Functions you will be researching will come up again and again. By knowing their basic properties, you will recognize them when you see them.FunctionsThe Identity FunctionThe Squaring FunctionThe Cubing FunctionThe Reciprocal FunctionThe Square Root FunctionThe Exponential FunctionThe Natural Logarithm FunctionThe Cosine FunctionThe Greatest Integer FunctionThe Sine FunctionThe Absolute Value FunctionThe Logistic FunctionFunction Characteristicsdomainrangecontinuityasymptotesextremaincreasingnessdecreasingnessend behaviorsymmetry(odd, even, or neither)What you have to have in your paper(minimum):An interesting fact for each functionThe Parent function for each functionThe Graphical representation for each functionDescribe each function using the Function CharacteristicsUse Basic Functions to Create Piecewise Functions (write using correct notation and graph)Your evidence (what you have to produce):Process Journal *– must be presented at each due dateAt least 7 bibliography cards using at least 2 of the 4 kinds of sourcesDue: 3/17At least 1 of each kind of note card for each bibliography card. A total of at least 21 note cardsDue: 3/17Interesting fact, parent function, and graphical representation for each functionDue: 3/24Define each characteristic and describe each function using the characteristicsDue: 3/24Outline and 1st draftDue: 3/24Define Piecewise Function and create piecewise function using correct notation and graphDue: 3/312nd draftDue: 3/31Final typed paper that would have the following structure:Due: 4/13Abstract (approximately four sentences)Table of ContentIntroduction - problem/situation (approximately 1 page)Your details - idea/model (2-5 pages)Reflection - future directions (approximately 1-2 pages)Conclusions (approximately 0.5 page)Bibliography*Your Process Journal must be turned in along with the final project. In addition to assigned journal entries, you should have DAILY entries reflecting on your process, what you accomplished regarding the project, obstacles, research annotations etc. ................
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