Question

Find the equation of the exponential function represented by the table below:

Answer 1

`f(x)=(1)/(100) ((1)/(2))^(x)`

Explanation:

`f(x)=ab^(x) \\\\f(0)=(1)/(100\\)`

⇒
`a=(1)/(100) \\\\f(1)=(1)/(200)\\ \\a.b=(1)/(200) \\\\`

⇒
`(1)/(100) .b=(1)/(200)`

⇒b=
`(1)/(2)`

⇒
`f(x)=(1)/(100) ((1)/(2))^(x)`

hope it helps