SOLUTION: Determine an exponential function going through the points (-1,2)(3/2,1/2)

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Question 1086394: Determine an exponential function going through the points (-1,2)(3/2,1/2)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Determine an exponential function going through the points (-1,2)(3/2,1/2)
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Form::
y = ab^x
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Equations:
2 = ab^(-1)
1/2 = ab^(3/2)
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Divide the bottom equation by the top equation:
1/4 = b^(5/2)
Then b = (1/4)^(2/5) = 0.5743
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Now, solve for "a"::
2 = a*0.5743^(-1)
a = 2*0.5743
a = 1.1487
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Equation::
y = 1.1487*(0.5743)^x
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Cheers,
Stan H.
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