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
