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Sunday, October 27, 2013

Sv #4: Unit I Concept 2: Graphing Logarithmic Funcitons


In this video, it is important the view pays close attention when finding the asymptote. Because h is being subtracting, the asymptote will have the opposite sign. Additionally, when finding the x-intercept, we must remember how to exponentiate and get rid of the logarithm. When finding the y-intercept it is important to know how to plug in the logarithm if the base is not e or 10.

Thursday, October 24, 2013

SP #3 Unit I Concept 1:Graphing Exponential Functions

The viewer needs to pay close attention to solving or the x-intercept. We cannot take the log of a negative number, so if this occurs, it is undefined, meaning no x-intercept. Additionally, it is important to notice that the range depends on the asymptote. If you look at the graph, you can see that the graph never goes below 1 and goes up to infinity, giving us the range of (1, infinity). Also when choosing key points, the 3rd key point should be h.

Wednesday, October 16, 2013

SV # 3: Unt H Concept 7: Finding Logs Given Approximations


      This video is about finding logs given approximations. This incorporates using the quotient, product, and power laws. Additionally, we will be looking at how to take our clues and multiply or divide them in order to make them equal to our solution. This problem involves knowing the properties of logs.
      It is crucial to recognize that because their is a denominator, the logs will be subtracting. The viewer needs to also pay special attention to expanding the clues using the properties of logs. If the log has an exponent, rather than solve it, you should use the power property. This means bringing the exponent to the front of the log. It is also important to recognize that you need to substitute in the values given after you have completely expanded your log.

Monday, October 7, 2013

SV #2: Unit G Concept 1-7: Graphing Rational Functions



     The problem is about graphing a rational function through analyzing pieces of the function. This video addresses vertical, horizontal, and slant asymptotes. It also finds the holes of the function as well as the x and y-intercepts. Using past concepts, such as domain, long division, and  interval notation, will help us in graphing this function. 
     The viewer should pay special attention to finding the x and y-intercepts because it is crucial to remember to use the simplified equation. Additionally, when find it he hole for these functions, plug in the found x-value into the simplified equation. When plotting the hole, represent it as an open circle representing that the graph does not go through this point. Lastly, through using the limit notation of the vertical asymptote, it gives you an idea of what the graph will look like.