SOLUTION: Find an exponential function of the form f(x)=ba^-x + c that has horizontal asymptote y=70 and y-intercept 350 pass through the point (3,105).

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find an exponential function of the form f(x)=ba^-x + c that has horizontal asymptote y=70 and y-intercept 350 pass through the point (3,105).      Log On


   

Question 867848: Find an exponential function of the form f(x)=ba^-x + c that has horizontal asymptote y=70 and y-intercept 350 pass through the point (3,105).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=ba%5E%28-x%29%2Bc
lim%28x-%3Einfinity%2Cf%28x%29%29=b%2A%280%29%2Bc=70
c=70
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.
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f%280%29=b%281%29%2B70=350
b=280
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f%283%29=280a%5E%28-3%29%2B70=105
280a%5E%28-3%29=35
a%5E3=280%2F35
a=%288%29%5E%281%2F3%29
a=2
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.
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highlight%28f%28x%29=280%282%29%5E%28-x%29%2B70%29