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An exponential function F is defined by f(x)=k·b^x. Find b and k given the information below... 

1. f(0)=3 and f(1)=12 

2. f(0)=4 and f(2=1

 Dec 6, 2018
 #1
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f(0) =3    means when x =0   y = 3   sub that in to the equation

 

3 = k b^0        anything to the ' 0 ' power = 1 so

3= k

 

Now when y =12 and x = 1

       12 = 3 b^1                            anything to the ' 1' power is itself    so

        12 = 3b

          4 = b        and your equation becomes

 

 

f(x) = 3 (4)^x      

 

The second one is very similar....try it .....

 Dec 6, 2018

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