SOLUTION: What is the equation for an exponential function that passes through the points (1,2) and (3,8)?

Question 1071259: What is the equation for an exponential function that passes through the points (1,2) and (3,8)?
Found 2 solutions by htmentor, Fombitz:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The general form of an exponential function is f(x) = y = c*a^x
We can determine the values of the constants a and c by using the two given points.
From (1,2) we get 2 = ca^1 = ca -> c = 2/a -> y = (2/a)*a^x
From (3,8) we get 8 = (2/a)*a^3 -> a = 2; therefore c = 1
So the function is y = 2^x

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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