Question

Write an exponential function of the form f(x) = ab* whose graph passes through the

given points.
1.
(1, 6) and (2, 18)

Answer 1

Explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

`(ab^2)/(ab)=(18)/(6)\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x`