Precalculus question

Question

An exponential function  passes through the points (0, 11) and (3, 1375). What are the values of  and ?

a = __?

b = __?

Answer 1

To solve, plug in the first point, 11 = Ab^0. Since anything ^0 is 1, A = 11. Now plug in second point.

1375 = 11b^3.

1375/11 = b^3 - and take cubed root of both

b = 5.

So the function is f(x) = 11*5^x A = 11, B = 5