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Thursday, October 24, 2013

SP# 3, Unit I Concept 1: Graphing exponential functions and identifying x-intercept, y-intercept, asymptote,domain,range (4 points on graph)



 In this problem we will be Graphing exponential functions first by identifying a,b,k,and h with the help of the equation y= (a)(b)^(x-h)+k and identifying x-intercept by setting y equal to zero , y-intercept by setting x equal to zero, asymptote by y=k, domain not having any restrictions because it's a exponential function ,range (4 points on graph)The viewer needs to pay special attention on the equation and how every number represents a certain letter. Another thing is that the asymptote is y=k
and is a horizontal line. As seen in finding the x intercept we do not have one because you can't take the log of a negative number. To find the y intercept you basically just substitute x for zero. Lastly the domain in this case will not have restrictions, the range does and it is based on the asymptote.


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