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Sunday, 24 February 2013

Chapter 1: Polynomial Functions

Prerequisite Skills, 1.1-1.6


Well, to begin the Advanced Functions course, there is no doubt that we started with Chapter 1. Now, what is Chapter 1? Chapter 1 is actually Polynomial Functions. It concerns the properties as well as the key features of graphs of polynomial functions and their transformations too. Not only that, the chapter also covers about the concept of average and instantaneous rate of change. 

Before we started any further with the chapter, we had to go through the prerequisite skills. Basically we need to sharpen some of our math skills so we that can understand the chapter a whole lot easier and better as well. The prerequisite skills cover mostly concepts that we would have already learned during out high school years. 

Then, we continued with the subtopics of 1.1 until 1.6. The subtopic 1.1 is about power functions and is easy if the concepts are understood well. Subtopic 1.2 would then touch on the characteristics of polynomial functions. The concepts in this subtopic are definitely very new to me so it did take some time for me to fully understand it. However, once I understood it, it became clear to me. Next, we did subtopic 1.3, equations and graphs of polynomial functions. This subtopic was a little tough for me especially for the part of analyzing equations to sketch graphs. I had a little trouble with that but after some practice, I started to understand it more. But, I still need more practice for that part. 




We then moved on to subtopic 1.4 which is transformations. This subtopic is all about understanding the concept for it to be easy. If one does understand it, it will be a trouble. Luckily, with Ms. Joanne's thorough explanation, it was simple to comprehend. Lastly, we learned about subtopics 1.5 and 1.6. These two subtopics concern the rate of change, which concept is basically y2-y1/x2-x1. The concept of rate of change is familiar as the subject of Physics and Chemistry in high school do touch on this concept.

In conclusion, this chapter is quite easy to understand. It's not something that is really tough. With lots of revision and practice, one need not worry about this chapter. 



If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.  ~John Louis von Neumann


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