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# AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

## Thursday, September 15, 2005

### Scribe

We did plenty of things today!:D First, Mr. Kuropatwa gave us the task to find the best model to fit the given data. He gave us the population of Manitoba from 1901 to 1971. At first glance, I thought that this data will turn out to be a line but I was wrong, even Mr. K seemed to have guessed wrong about the graph. He predicted that it will turn out to be exponential but it was actually logarithmic. I was a bit surpised by the result, but eventuallyI understood why is it that way. If the table was a line, it would have had the same slope for each points but it didn't. Many factors affected how the graph looked like. The war, immigration and also the resourses of the province are some of the factors that may have caused an unusual curve.

We also looked at another graph from the book. We found out that this one was an exponential function because the ratio of each Y value was the same throughout. Also we found out that this ratio was actually the base of the exponential function. Also, we reviewed about the characteristic of an exponential function. An exponential function will never touch the x-axis because the negative exponent is a fraction. It will just get smaller but will never reach it. We also talked about the transformation of the exponential function. If you know the basic form of the function, the rules for transformation are the same.

Well that's it for now. Thank you and see you guys tomorrow. Bye!:)

The next scribe is...
Prince ;)