Write an exponential function y = abx for a graph that passes through (2, 1) and (3, 4)

Answer 1

y=ab^x through (2,1) and (3,4)

1 = ab^2, 4 =ab^3

divide them to eliminate one variable

4/1 = ab^3/ab^2 =b = 4

1=a(4^2) = 16a, a =1/16

4 = (1/16)(4^3) =64/16

y = (1/16)(4^x) is the exponential function through the two given points

or

16y = 4^x