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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.

## Monday, September 19, 2005

### Scribe

In todays class, Mr. K gave us our first quiz of the year. The quiz was on functions, functions which he actually just pulled right out of our previous classes, a good way of seeing if we are paying attention I might add. We exchanged papers and corrected them, he says that its to get a feel of how we are being evaluated. We then took a look at some things about inverse functions. We re-looked at the different kinds of relations, by those I mean relations (like circles), many-to-one functions (like parabolas), and one-to-one functions (like lines, inverse functions, and some cubics).

Mr. K went into quite some detail after that explaining inverse functions, and gave the example of the functions Baby Play and Parent Clean-Up. Baby play is a function that takes a clean room and transforms it into a messy room. Parent clean up takes a messy room and turns it into a clean room. For baby play, the domain(input) is clean room, and the range(output) is messy room. For parent clean up, the domain is messy room and the range is clean room. Because the domain of one is the range of the other, and the range of one is the domain of the other, the two are inverse funtions. Functions that are the inverses of each other undo what the other does.

With inverses, the restrictions of one function apply to its inverse function.
Ex. the ristriction on the square root function with which it can not have negative numbers in its domain, same would be true for its inverse, so the inverse would be f(x)=x² but only the positive part of the graph.

Now as for tommorow's scribe, were down to two, tommorows scribe is Xun@