SOLUTION: find the exponential function of the form f(x)=ae^bx that passes through the point (0,2) and (2,8).

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Question 540739: find the exponential function of the form f(x)=ae^bx that passes through the point (0,2) and (2,8).
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
2 = ae^[b(0)] ___ 2 = a * 1 ___ 2 = a

8 = 2e^[b(2)] ___ 4 = (e^b)^2 ___ 2 = e^b ___ ln(2) = b

f(x) = 2e^[x ln(2)]

f(x) = 2 * 2^x = 2^(x + 1)