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Sunday, October 27, 2013

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

   The viewers need to pay special attention on how the asymptote is found. The asymptote equation is x=h and h comes from the "base of" portion of the log and is equal to 0. In this video for example, the "base of" is x+2, it is equal to 0 and solve algebraically to get the asymptote of x=-2. The viewer also need to pay attention to how the x and y intercepts are solve. For the x intercept, the equation is equaled to 0 and solved algebraically, however exponentiate is required. For the y intercept, x is 0 and solved algebraically; in this video log base b of b=1 property is used. And finally, the range is always (-infinity, infinity), but the domain is (asymptote, infinity).

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