Sunday, October 27, 2013

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


What does the viewer need to pay special attention to in order to understand?
The viewer needs to pay special attention to the asymptote equaling h. So therefore, x=h. Secondly the viewer must know that the equation itself cannot be plugged into the y-screen of the graphing calculator it must be modified, using natural logs. Lastly, is that, the range has no y-value restrictions meaning it is going to  be (-infinit., infinit.). 

Thursday, October 24, 2013

SP#3-Graphing exponential functions


What does the viewer need to pay special attention to in order to understand?
First of all to understand how to graph the equation and where the boundary is, its the asymptote which is y=h. For this equation it would be y=-2. Secondly, because the equation is negative and the boundary is at -2, that means no x-intercepts because when solving for the x-intercept, a log of a negative number cannot be solved, it is undefined. Lastly, to find your y-intercept you must plug in zero and from there solve for the rest. 

Wednesday, October 16, 2013

SV#3: Unit H Concept7-Finding logs given approximation


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

There are many little tricks and things in this specific concept that one can mess up on. First being, trying to find the factors for the log, it it necessary to divide until you see all answer being on the clue chart. When writing out the expanded log, it is necessary to have the logs adding when needed and subtracting when needed. And lastly, it is essential to have that secret clue in there, along with your other clues, it is good help to solve the problem out. Those are mainly the basic things to watch out for, other than that, have fun 'log'ing away!

Tuesday, October 8, 2013

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



ATTENTION: There was a slight mistake in my answer for the hole, but the correct hole for the equation above, is this one! Sorry for the inconvenience. 


Here is the graph I promised in the video! A quick explanation of the graph the highlighted parts: the green in the vertical asymptote and the blue is the slant asymptote. The points on the graph are the x-intercepts and y-intercepts found throughout the equation. And lastly the key points are points randomly selected. The process is you choose three x-values that are on the graph and on your graphing calculator, looking at your graph, you trace those three x's and you shall receieve your y's.


What is this problem about? 
The problem is about basically everything to do with rational functions! I know very exciting. But anyways in a problem like this we will see horizontal asymptotes/slant asymptotes, vertical asymptotes, holes, domain, x-intercepts, y-intercepts and in the end adding everything into one bunch and graphing it. Everything interconnects with one another, so it is important to be clear with your work so in the end you won't mess up the graph.

What does the viewer need to pay special attention in order to understand?
In order to understand the viewer must pay attention to each and every step they do. They must be aware that one thing leads to another and it all leads to the graph. So it must be important to keep everything organized because you can easily mess one thing up with another. It's extremely important to REMEMBER that if you have a slant asymptote you will not be having a horizontal asymptote and vice versa. Laslty, if nothing cancels in a vertical asymptote that means the graph will not have a hole.