Section 3.5

I'm going to be straight forward and honest here. I hardly understood anything within this chapter. I'd like to go over alot of it in class when we do. I more or less understand that the asymptotes mean we can't have it touch the x or the y line at a certain point but it become infinitesimally close to touching it though.

Section 3.3

The toughest part in my opinion about this section was trying to factor out the polynomials. The toughest part about it was trying to find something that all of the parts of x had in common and getting them out of the main part. Eventually I came to see it a little better but i still have my skepticism about how well I really understand it.

Section 3.2

This section was just like the polynomial functions section, but mostly just having some division thrown into the mix. The remainder section felt rather easy though, instead of trying to have some form of decimal point, you can just use the remainders. Dividing two polynomials was rather difficult though, but I feel that it can be worked through with enough time.

Section 3.1

Polynomial functions are basically functions with more complexity to them. By adding higher powers to them, they create new functions entirely. These functions are alot harder to understand because there can be as many powers in the variable as one desires. Alot of patience and thinking are required  for this section.

Section 2.9

This section was one of the more difficult ones I didnt understand. The whole tangent lines equations totally threw me off. But once I sat down and really started to think about it, it became clearer to me about what they are.

section 2.8

The hardest part about this section was mostly trying to translate the equations into their function forms. Alot of it felt like it ended up being either really really vague, or really really complicated. Either way, I definately would like to discuss it more some time and find out what really happens with them.

Section 2.7

This section felt complicated to me. Trying to find the inverse of a function felt like trying to take a mirror and somehow find the correct way to reflect it across some axis. I'd like to understand more about it, but I think I have the general picture in which the graphs go.

Section 2.6

The main part of this section that really stood out to me was the compositions of the functions. My college prep teacher gave us a good example of how to do these though.  He told us to consider one of the functions like a donut, and the other function as jelly filling. So if  f(x) is the donut and g(x) is the jelly filling, it'd make it so it's like f(g(x)), and it would make it like a donut.

Section 2.4

Quadratic Formulas feel more or less like their linear function counterparts. But there is definitely a different feel about them. They feel much more complicated. Hopefully I can nail them more so than i did with the other sections so far...

Section 2.3

This section felt like another form of review for me, but it was still rather complicated nonetheless. Mostly the big parts of this section were the memorization of point slope, and the difference between the parallel and perpendicular lines in the linear function. The graphs of the linear function felt more or less like creating a regular line graph, but adding in the parallels and perpendicular lines made it a different story.