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Thursday, October 24, 2013

SP #3: Unit I Concept 1 - Graphing exponential functions and identifying x-intercept, y-intercept, asymptotes, domain, range (four points on graph minimum)



In this type of problem, the viewer needs to pay special attention to the parts of the exponential equation (y = a x b^(x-h) + k). "A" will tell you if the graph is going to be above or below the asymptote and "k" will tell you where the asymptote is.  These are the two most important values of the equation. You have to make sure that your asymptote is horizontal for these types of equations. You find the Key Points by inputting the equation into the "y=__" screen then looking at the table. Also, solving for the x and y intercepts need to be accurate in order to make the graph more precise. Domain will always be (-inf., inf) as there is no x asymptote. The range depends on the asymptote. If your graph is neg., then the value goes to the y slot as it is below the asymptote. If it is a positive, then it goes into the x slot as it allows the line to be on top of the asymptote.

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