Question

Please help asap
math question

Answer 1

f(x) =
`((1)/(4)) ^(x)`

Explanation:

the exponential function is of the form

f(x) =
`a^(x)`

to find a substitute the point (2,
`(1)/(16)` ) from the graph into f(x)

`(1)/(16)` = a² ( take square root of both sides )

a =
`\sqrt{(1)/(16) }` =
`(1)/(4)` , then

f(x) =
`((1)/(4)) ^(x)`