WPP #6: Unit I Concept 3-5

SV #4 : Unit I Concept 2- Graphing logarithmic functions and identifying factors

SV #4 
What does the viewer need to pay special attention to in order to understand? 
The viewer should pay attention to the fact that in this concept you use x=h instead of y=k. This one is slightly different than concept 1 and so the viewer should be cautious about that. Also, for the domain and range, it is as if they switch places compared to the last concept. The reason is because in this case the range is always all real numbers and then for the domain, it will basically always be the asymptote and then comma to infinity since we are always going to be focused to the right side of the asymptote. Lastly, when it comes to solving for the x and y intercepts just be aware and know how to solve properly. 

SP # 3: Unit I Concept 1

The equation is:
F(x)= -2(2)^(x+2)-1

For this problem, the first step that we would do is identify a-k and then the asymptote becomes easy (y=k). Then, finding the x and y intercepts would come and we would do so by plugging y as zero when solving for the x intercept and then plugging in zero for x to find the y intercept. The domain and range you can either do before or after graphing the equation. Plug in any key points, just make sure that the third one is your value of h to make it easy. Plot the points and then you are basically done. 












What does the viewer need to pay special attention to in order to understand?
While solving the problem the viewer should pay special attention to the original equation and whether a indicates it as below or above the asymptote. This will come in handy for the graphing as well. Now, if and when you get a negative natural log then you have to realize and remember that it means it will be undefined. Remember that the domain is always all real numbers and then since in this case for the range it is below that means that you will start from negative infinity up to the asymptote. 

SV #3: Unit H Concept 7

SV #3




What does the viewer need to pay special attention to in order to understand?

While watching the video, the viewer should pay special attention when it comes to having the clues in mind due to the fact that when breaking down the fraction given you should know the way to simplify it. Also when it comes to expanding because several times you can forget that you maybe there should be a coefficient since a number appeared more than once. The mistakes that you can make can be rather silly ones so paying attention while working the problem out would be helpful.   

SV #2 Unit G Concept 1-7: Finding Vertical/Horizontal Asymptotes, Slants, etc

What is this problem about?
This problem is about finding the vertical asymptotes as well as the horizontal asymptotes and just finding several parts to it. Slants are included as well and a fact you know is that if you have a horizontal asymptote then you do not have a slant or vice versa since you cannot have both in one equation. Graphing it is another step to this and you have to find the domain, x intercepts, and y intercepts as well. There are several steps in this Unit and it requires a lot of memorization. A tip would be studying the flashcards or rehearsing the chants so that you know what to do when looking for a slant or vertical asymptote. 

What does the viewer need to pay special attention to in order to understand? 
These types of problems are very tricky and can be easy when it comes to messing up and forgetting how to solve for a certain part. The reason is because there are several parts to it and several techniques on how to do it. Now, the viewer has to pay special attention to the rules because if they should realize the fact that if they find a horizontal asymptote, then they should not have a slant. Also, when it comes remembering what to do specifically to find a certain part. They should know exactly what to do when solving and for example know that if looking for a slant then long division is what to use. 

SV #1: Unit F Concept 10

What is this problem about? 
This problem is about finding all of the zeroes including real and complex zeros as well when given a a polynomial of fourth or fifth degree. Basically, we will be looking for several components like the p's and q's. Also, we will solve for the positive and negative zeroes. In the end we will use synthetic division to find the zeroes with perhaps multiplicities and then once we break it down to a quadratic we can factor out usually with the quadratic equation. 

What does the viewer need to pay special attention to in order to understand? 
The view should pay special attention when it comes to the factorization. The reason is considering that it involves a lot of simplifying, it will not cut it if they are not fully paying attention. For example forgetting the number you take out when simplifying the equation and putting it into the factorization part to it is a common mistake. Another component is that many times you may forget to to do the extra step when simplifying complex numbers. These problems require full time of full attention. 

SP #2 Unit E Concept 7: Graphing Polynomials

SP

      What is this problem about?                                                                                                                                

             This problem is basically about graphing a polynomial and being able to find several factors to it. For example,  from the equation we have to factor it out and then find the zeros, or x-intercepts. Some times you can start off backwards, like in this case, by coming up with the zeros first and then the factored equation to finally foil. Finding the y-intercepts as well would a task and then the extrema with the intervals of increase and decrease. To be able and graph it, you look at the zeros and decide whether the graph will go through the point, bounce, or curve. The way you decide is by knowing what the multiplicities are. 

What does the viewer need to pay special attention to in order to understand? 
            The viewer needs to pay special attention to the x-intercepts and know what the multiplicities exactly due to the fact that the graph will come out incorrect if the multiplicities are wrong. Also, another thing is that knowing the end behavior is important since it will give you a hint of how the graph will look like. Just overall be cautious because one simple mistake can ruin the whole problem.