Question

If f(12) = 100(0 .50)12, which expression gives f(x)? Explain.

A . f(x) = 12^x
B . f(x) = 100^x
C . f(x) = 100(x)^12
D . f(x) = 100(12)^x

Answer 1

D . f(x) = 100(1/2)^x

Explanation:

If f(12) = 100(0 .50)¹²

∴ f(x) = 100(1/2)ˣ

Answer 2

`f(x)=100(0.50)^(x)` or
`f(x)=100(1/2)^(x)`

Explanation:

we have

`f(12)=100(0.50)^(12)`

we know that

f(12) is the value of the function for x=12

therefore

The function f(x) should be

`f(x)=100(0.50)^(x)` or
`f(x)=100(1/2)^(x)`