Precalculus Question

Question

Find the exponential function f(x)=a^x that passes through the point (2,36) and has a y-intercept of 1.

Answer 1

(2,36), (0,1)

y = ab^x

1 =ab^0 =a(1) = a

a=1

y =b^x

36 = b^2

b =sqr36 = 6

f(x) = 6^x