Find an exponential function of the form....

Question

Find an exponential function of the form f(x) = ba^x that has the given y-intercept and passes through the point P.

 

y-intercept 27; P(3, 1)

Answer 1

y =b(a)^x

27 =b(a)^0 = b

b = 27

y=27a^x

1=27a^3

a^3 = 1/27

a = 1/9

f(x) =27(1/9)^x is the exponential function with y intercept = 27 and goes through the point (3,1)