Monday, October 15, 2007

Scribe post # 3

[filling in for Mark, he will be tomorrow's scribe]
In today's class we talked about the assignment we had on Friday, which was to create a problem identifying which 3 out of the 4 functions were related. Next, we talked about the hits we are getting from around the world. The map can be seen on the right, if you scroll down. After that, we searched for a wonderful picture to start of the slides with. It's the picture with the swirly smarties! Yay! Smarties = Yummy!

Mr. K. then brought up the term continuous functions. He asked us what we thought it meant. After a short discussion (and spelling analysis) about continuous functions we came up with an informal definition. We said that a continuous function is a function that we can draw without lifting the pencil off the paper at any point. If you cannot draw the graph without lifting the pencil then it is not continuous. We also concluded that all polynomial functions are continuous functions (X², X³...). Functions like 1/X are not continuous. Absolute value functions can be continuous depending on the kind of function. When a function contains a hole/corner/cusp it is not a continuous function. If a function is differentiable then it is continuous. However, if the function is continuous it does not mean it is differentiable.

We then saw examples of infinite discontinuity and jump discontinuity. This can be seen on slide number 6. Next, we moved on to a couple of question to determine if they were continuous or not. Then we clicked the link found directly on the slide and took a quiz.

We also learned how to Factor a Difference of Cubes and Factor By Grouping.
***Factoring By Grouping should be learned in grade ten, although it is not in the curriculum. Since a number of us didn't learn it, we were taught/re-taught it today.
See slide 10.

On slide eleven we talked about the Intermediate Value Theorem and Corollary. A corollary means it does not need to be proven; follows naturally. On slide twelve, we talked about the Extreme Value Theorem. We said that if a function has a solution it has a root and if it is continuous it has to have a min and a max aka extreme values.

Homework: 2.8 ODDS up to 13 + 2
Tomorrow's scribe will be Mark.

***sorry if I did anything wrong...please tell me if I did so I can fix it.

1 comment:

m@rk said...

Aichelle, thank you for filling in for me today. I owe you one. ^___^