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on April 25, 2007 at 7:17:35 pm
 

Drew & Dubè   

 

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=logb(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=log10(x)

 

  • Graphical- Graphical is the method of showing it in graph form. A graph can be derived from both of the Symbolic versions of the exponential and logarithmic equations.
    Ex/    > y=4(2)(x/3)+1                                                                                                                                       > y=log10(x)
                                  
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  • Written-  Written is pretty much the equation explained in a sentence.
    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=10y

 

 

  • Tabular- Tabular is the method of showing the exponential and logarithmic functions in a table.
    Ex/
                                       

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