SOLUTION: how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)      Log On


   

Question 429543: how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you write an exponential function y=ab raised to the x with the points (0,1), (2,4)
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Form: y = ab^x
Solve for a and for b:
Using (0,1) you get: 1 = ab^0; 1 = a*1; a = 1
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So, y = 1*b^x
Solve for "b":
Using (2,4) you get: 4 = b^2
b = 2
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Equation:
y = b^2
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Cheers,
Stan H.
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