Drew & DubĂ¨
Question: Describe and translate between graphical, tabular, written and symbolic representations of exponential and logarithmic relationships
Answer: Exponential and Logarithmic relationships can be shown in four different ways. These are symbolic, graphical, written, and tabular
- Symbolic- Symbolic is the fancy word for equation form. General exponential form looks like y=a(b)^{(x/c)}+d. A stands for the starting point, and is also the y-intercept. B stands for the common ratio. C stands for the it takes to change by the common ratio. Finally D stands for the change in the Horizontal Asymptote. The general logarithmic form looks like this y=log_{b}(x). If the base which is repersented by B is not stated it is asumed that it is 10.
Ex/ y=4(2)^{(x/3)}+1 and y=log_{2.5}(x)
Ex/ > y=4(2)^{(x/3)}+1 > y=log_{2.5}(x)
Ex/ Exponential: An exponential growth function with a y-intercept of 3 that doubles in y values every third x value.
Logarithmic: The inverse of the exponential function of x=2.5^{y}
Comments (2)
Anonymous said
at 5:57 pm on Mar 29, 2007
Yeahhhh
Anonymous said
at 9:22 pm on Apr 29, 2007
Drew, Looks good. If your graphs were a bit smaller, it would make the page a bit more readable. You sample problem could use a bit more formating as well. Nice job.
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