Question

Which of the following represents graph of f(x) = (1/2)^x

Answer 1

heyy, I know you posted this on 2017 and got no answers yet, well i need it this answer and it wasn't here, so i know the answer

The answer is The first one

Thank u :)

Answer 2

The first option is correct.

Explanation:

The given function is

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

The general exponential function is

`f(x)=ab^x` .... (2)

Where, a is initial value and b is the growth factor.

If b>1, then it is a growth function and its graph is an increasing curve.

If b<1, then it is a decay function and its graph is a decreasing curve.

On comparing (1) and (2) we get,

`b=(1)/(2)<1`

So, f(x) is a decreasing function.

Since f(x) is decreasing function, therefore the graph of the function decreases as the value of x increases. Option 1 is correct.