Answer:
The first option is correct.
Step-by-step explanation:
The given function is
[tex]f(x)=(\frac{1}{2})^x[/tex] .... (1)
The general exponential function is
[tex]f(x)=ab^x[/tex] .... (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,
[tex]b=\frac{1}{2}<1[/tex]
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.
