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Write the equation of the exponential function that goes through the point (2,0.36) and (4,0.1296) 

(can you explain how you got y=.6^x

 Apr 27, 2016
 #1
avatar+130044 
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Let us assume that we can write the function as :

 

f(x)  = ax

 

And notice that we have :

 

.36  = a2      (1)

 

And

 

.1296  = a4    (2)

 

Divide (2) by (1)

 

.1296 / .36  =  a4 / a2

 

0.36  = a2        take the positive square root of both sides

 

0.6  = a

 

So.....our function is

 

f(x)   = ax   = 0.6x

 

 

 

cool cool cool

 Apr 27, 2016

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