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{"ops":[{"insert":"\n\nIf a stock price goes from $10 to $12 from January 1st to January 31, from $12 to $9 from February 1st to February 28th, and from $9 to $15 from March 1st to March 31th is the price change from $10 to $15 a straight line? \n\nIt is clear that in each of the three time intervals mentioned there was a complex daily variation of prices as in an electrocardiogram. But what would be a simplified solution for a first naive view of the situation? Would a simple function hold up? What is the simplest function to represent this situation? Does your na\u00efve initial and simplified model allow you to predict the behavior of the stock in the next month?\n\nHow can I use three \u201cpieces\u201d of lines to describe the price movements from the beginning of January to the end of March? Show the graph for the price movement.\n\nGo to www.desmos.com\/calculator, and write your equations following the example\n\ny = x + 2 {0 < x < 2}\n\ny = \u2013x + 6 {2 < x < 5}\n\ny = 2x \u2013 9 {5 < x < 8} \n\n\n"}]}

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