Tuesday, October 29, 2013

SV#4: Unit I Concept 2- Graphing Logarithmic Equations

Click HERE to watch my video.
An important thing to remember is the equation y=a(b)^(x-h)+ k because you need to know that your h is your asymptote. It is also important to know that the range for logarithmic equations is always (-infinity, infinity). Pay special attention to plugging in the right change of base in order to find your graph because that is how you will find your new points. I hope my explanations help:)

Friday, October 25, 2013

SP#3: Unit I Concept 1- Graphing Exponential Functions

     This problem is about knowing how to identify the x-intercept, y-intercept, asymptote, domain, and range in order to graph it correctly. You must know the equation y=a(b)^ (x-h)+k and the meaning behind each letter in order to find certain parts of the graph. To find the x-intercept simply plug in 0 for y and to solve the y intercept simply set x=0. For the domain, there are no x-value restrictions and the range depends on the asymptote. Last but not least, the key points should be based after finding you x and y intercepts.

     It is important to pay attention to your "a" of the equation because it gives you a lot of information upon the graph without solving anything. Knowing whether its positive or negative tells you where your graph should end up being and it may also determine whether you will or will not have an x-intercept in accordance to your asymptote.

Thursday, October 17, 2013

SV#3: Unit H concept 3- Evaluating Logs

Click Watch my video click HERE
A very important thing to focus on is factoring and breaking down the log that is to be found correctly or you will not get the right numbers to substitute for the letter of the given logs. Another very important thing is finding the hidden clues  because you must automatically always add two logs based on the properties of logs.  Last but not least if your answer, does not spell out what mine spells it is ok, that does not mean your answer is wrong, but just make sure it has the same letters, signs, and numbers.

Monday, October 7, 2013

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

To see my video click HERE
***** I ACCIDENTALLY WROTE THE WRONG SIGN ON THE NUMERATOR FOR MY RATIONAL FUNCTION, IT SHOULD BE X^3+ 4X^2 AND NOT -4X^2 IN ORDER TO GET THE SAME ANSWERS AS I DID, PLEASE MAKE SURE TO FIX THAT BEFORE CONTINUING THE VIDEO OR YOU WILL GET DIFFERENT ANSWERS******
 In my SV2, the problem consists of determining what kind of Asymptote the rational function has and it's equation, how to find the holes (if any), x intercepts, y intercepts, and draw the corresponding graph. You must have a calculator in order to be able to find the limit notation of the Asymptote and all your key points. Having a visual of how the graph looks on the calculator is very helpful while doing certain steps of the problem.
It is important to pay special attention to the the degrees of the first coefficients from the denominator and the numerator in order to know what kind of Asymptote your graph will have. Another important thing is to make sure your limit notation is correct according to the graph because knowing whether the graph goes up or down can assure you if you have the correct graphs according to your holes and x and y intercepts. After understanding every step, the process of graphing rational functions will be as easy as 1,2,3:)