Find an exponential function of the form f(x) = C · a^x + D with horizontal asymptote y =1 whose graph contains the points (1,7)and (0,5).

Answer 1

since C*a^x has horizontal asymptote y=0, D=1
Now we have C*a^0+1 = 5, so C=4
Now 4a^1+1 = 7, so a = 3/2

y = 4*(3/2)^x + 1