SOLUTION: Please explain why I am getting this wrong. The graph of an exponential function given by f (x) = A(b^x)+c is shown below: http://i.imgur.com/GAywHDn.png

Question 915987: Please explain why I am getting this wrong. The graph of an exponential function given by f (x) = A(b^x)+c is shown below:
http://i.imgur.com/GAywHDn.png
Found 2 solutions by MathLover1, josh_jordan:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

given points: (,) and (,)
horizontal asymptote:

from given horizontal asymptote , we know that
so, we have
use points to find and

........if (,)

so, we have or
........if (,)

} or
so, your equation is: or

Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
The points listed are at (-2,12) and (0,4) and the asymptote is y = 3. You are also given the form of A(b^x) + c. If you plug in the first point you'd get A(b^-2) + 3 = 12, which would give you A(b^-2) = 9. Using your second point, you'd get A(b^0) + 3 = 4, which would give you A + 3 = 4, leaving you with A = 1. So, you can now substitute 1 for your first function: 1(b^-2) = 9. Solving for b would give you 1/3. You can now substitute 1/3 for b, and 3 for c in A(b^x) + c:

f(X) = (1/3)^x + 3
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