WPP #6: Unit I Cocepts 3-5- Compounding and applications.

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SV#4: Unit I Concept 2: Logarthmic equations

        This video is all about how to solve for the logarithmic equation. It is a step by step walk through of the problem. It is not the best video I know, however it does get the job done. It is useful and helps you get through the problem. There are pictures below for clarification if needed.
        There are some tricks to the problem. Do not let the h confuse you. Remember that you have to switch the sign that it gives you when finding your asymptote. Then when solving for your x-intercept do not forget to put the proper parenthesis so that you do not get the wrong answer. Then for your y-intercept do not forget that when exponentiating it is putting the base as the new bas on both sides. Use caution when graphing and enjoy. Thank you for watching. (Sorry the video is labeled wrong...)

clarification

 

SP#3: Unit I Concept 1: Finding parts and graphing exponential equations.

Steps!
1) Find your a, b, h, and k (remember that your a is first, then b, then h is either added to or subtracted from x, and k is the constant that is added or subtracted to the equation).
2) Write your asymptote. Remember the asymptote is y=k (a horizontal asymptote).
3) Then you find your x-intercept by plugging 0 in for y and solving like a regular equation for x (reminder: you will not always have an x-intercept).
4) Find your y-intercept by plugging 0 in for x and solve the equation.
6) Write your domain.
7) Write your range down ( depends on location of graph).
8) Use h as your third key point and choose two below that and one above it then use your table application to find the other point.
9) Graph it by first putting your asymptote as a dotted line, then your intercepts, and finally your key points. Then connect them appropriately and do not forget your arrows.

 

   This problem is all the steps on how to solve for exponential equations. It is an example of one without an x-intercept and it shows each step for ease. It is a walk through on how to get these types of problems done. It is all about the exponential equations and involving other ideas from other concepts. Enjoy.

 

     There are a few things that you need to pay close attention to. One is remember that the h is the opposite of what is seen in the equation. Also with exponential equations your domain will always be negative infinity to infinity. The range is different though. Remember if it is below the graph then it will be negative infinity to the asymptote and if it is above the graph then it will be the asymptote to infinity. It is easy to mess up on the little intermediate steps of solving for the intercepts so be careful and take your time. Also it is very easy to misinterpret things and end up with the wrong answer so take your time and check using the table and graph feature on your calculator. Remember there is no x-intercept because the asymptote is -2 and since the graph is below the asymptote (a is negative) then it will never cross the x-axis. Also mathematically if you wanted to verify the answer is an unreal answer meaning there is no x-intercept. Enjoy!      

WPP#3: Unit E Concept 2 - Path of Football (or other object)

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SV#3: Unit H Concept 7: Log Approximations

The video is all about log approximations. It is a treasure hunt that is full of joy. You are expanding a problem from one log to many. It is really quite simple. It is a lot of fun and I hope you enjoy it.
 You must be careful though. This is not as easy as it seems. Make sure that your signs match up. If you are using a product use an addition sign to connect the logs. If it is a quotient then make sure to connect the logs using a subtraction sign. Those are your lines on the map that guide you to the x, the final approximation. Be careful and have fun.
Thank you for watching and I am sorry for the few mistakes and stuffy speech, I am at tad bit sick. Flu season, but really enjoy lovelies.

SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function

      This video is all about the different types of asymptotes. It is an explanation of how to find the horizontal or slant asymptote, the vertical asymptote(s), and the possible holes. Then from there you can find your domain(D.I.V.A.H.) and your x and y intercepts (set the opposites to zero). After that you can create your graph. Remember to find your other points in each of the sections that are cut off by the asymptotes. There is a ton of things to do, but it really is not that hard once you get the hang of it.
     Hey dears, you do have to be careful though. When finding the x-intercept remember you do not use the holes; remember to use your simplified equation. Also just be careful with every step that you do because it is very easy to make a small mistake any where. Remember all the chants because it will help you get through it all. Just take your time and use caution when solving these problems.
     Thank you all for watching my video. I hope you enjoyed and I am sorry for any stutters and blurs. Below is a picture if you need a reference.

These are the asymptotes and the hole.


This is the domain, intercepts, and the graph.