Answer:
The correct option is B.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is the initial value of the function and b is the growth factor.
If b>1, then f(x) is an increasing function and if b<1, then f(x) is an decreasing function
From the given graph it is noticed that the initial value of the function is 2. It means the value of a is 2.
The graph shows that the function is a decreasing function, therefore the value of b must be less than 1.
It means the required function is in the form of
[tex]F(x)=2(b)^x[/tex]
Where, b<1.
In option B, b=0.5<1, therefore option B is correct.
