Question 85085: Please help with the problem
Find an exponential function of the form f(x)= ba^x + c with y-intercept 2, horizontal asymptote y = -2, that passes throgh the point P(1,4).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find an exponential function of the form f(x)= ba^x + c with y-intercept 2, horizontal asymptote y = -2, that passes throgh the point P(1,4).
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y-intercept of 2 means it passes thru (0,2)
It also passes thru (1,4)
Find a and find b:
horizontal asymptote of y=-2 means c=-2
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Using (0,2) and c=-2
2 = ba^0 -2
4=b
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Using (1,4) and c=-2 and b=4
4 = 4[a^1]-2
a=3/2
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EQUATION:
y = 4[3/2)]^x -2
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Cheers,
Stan H.
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