Question 198278: write an exponential function of the form y=ab^x that includes the given points..
(-1,3/8),(1,3/2)
thanks for the help
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! write an exponential function of the form y=ab^x that includes the given points..
(-1,3/8),(1,3/2)
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Substitute for x and y to solve for a and b:
(3/8) = ab^(-1)
(3/2) = ab^(1)
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Divide the 2nd equation by the 1st to solve for "b":
4 = b^2
b = 2
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Now solve for "a":
(3/2) = a(2)^1
a = 3/4
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Equation:
y = (3/4)(2)^x
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Cheers,
Stan H.
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