Scribe postage # 1!

Hello everyone! My name is, Aichelle, the lucky recipient of posting today's scribe. How are you today? ...oh really, that's great! =) So today in class, Mr. K. started off by showing us a slide with a graphic. In a group Mr. K. asked us to make a list of what we know about functions. After a few minutes students went up to the board and jotted down some key points. After a number of people went up to the smart board, Mr. K. had called up every other student who had not been up there and add on to the list.



This the result of everyone's brain power put together. Sandy said that every function has a degree. She is right but Mr. K. informed us that every polynomial function has a degree. Ethan stated that functions have x and y variables. Mr. K. told us that you don't always have to use x and y as variables and that other graphs that aren't functions can have x and y variables. I said that functions can be inverted Mr. K. corrected me by saying l +0 l functions can be inverted.

After the discussion was over on what we knew. Mr. K. talked about the famous block of wood. He said the block of wood has different faces/sides but it's all still the same block of wood. This was an analogy to functions/graphs. Functions can be respresented in different ways as Mark said [numberically, graphically, verbally] but it's still all the same thing. Mr K. also talked about stuff we did not write. He mentioned intercepts, the shape [concave up/down], the "flavour" [linear, quadratic, peacewise, trigonometric, exponential], and the two different variables [independent and dependent].

We then looked at a description of a function made by a student. The student's way of describing it was clever but it was wrong. [Found on second slide]

Next, we looked at a chart which had questions attached with it. Graeme said the growth of the population looked as if it was growing exponentially. Mr. K. told us to whip our calculators out so we could see how that data changed. We plotted the data into our calculator [everyone did so except me due to the lack of battery power!] and we saw how the population dramtically changed. We saw that as the years have gone by the population increased faster. Mr. K. talked about change and said that is what calculus is about. Change. We also tried to find an equation that fit that data...it was close but it wasn't good because it wasn't as accurate [78% accuracy]. [Found on slide three, slide four shows the plotted data]

We moved on to the next slide and graphed it on our calculators.since we cannot have a negative number under the square root. √4 -x²---> The domain must be [-2, 2]. We found the range on the calculator [-32.2385, 20.2435]. We know two roots already which are -2 and 2. There was another one that we found on the calculator, 1.0627. [Found on slide 5]

Lastly we analyzed a graph. Mr. K said these are questions we must be able to answer when describing a graph. Like, finding g (3). We went over the first three questions and time was cut short due to the bell. [Found on slide 6] That was our first official class. Yesterday was basically an introduction with a few ground rules.

*Reminders*
Homework: Chapter 1, section 1 [1.1] ; odds + 4
Sign up for the blog [Yesterday's homework.].
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OH! Graeme is the next scribe lol.