Find the function of the form ​f(x)=ca^x that contains the two given graph points. (1,1) (2,8)

Answer 1

(1,1) and (2,8) on a curve y=ca^x, an exponential function

1 = ca

8 = ca^2

divide to get

8 = a

c = 1/8

y = (1/8)(8^x)

y = (8^x)/8\

which also = 8^(x-1)

Answer 2

1 = ca¹

8 = ca²

Divide bottom equation by top equation

8 = a

1 = c(8)¹

1/8 = c