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Math Investigation - Properties of Quartics
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| Words: 2847
| Submitted: Wed Mar 19 2008
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Investigation Mathematical Investigation Ritesh P. Kothari 10/25/2007 A quartic function with a "W" shape has two points of inflection, Q and R. In this investigation a line is drawn through Q and R to meet the quartic function again at P and S. The ratio PQ: QR: RS is to be investigated using specific examples to form a conjecture, and then examined formally to prove the findings. IB Mathematics Portfolio Type I Candidate name: Ritesh Kothari Candidate Code: 001859-018 School name: Mahatma Gandhi International School School Code: 001859 1. Graph the function f(x) = 4 - 8 3 + 182 - 12 + 24 The above graph is made using "Microsoft Excel 2007" and the displayed function is F(x) = 4 - 83 + 182 - 12 + 24 Scale used: X: - 1.5 to 5.5 Y: 6 to 66 2. Find the coordinates of the points of inflection Q and R. Determine the points P and S, where the line QR intersects...
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