Question

The graph below could be the graph of which exponential function?

Answer 1

Consider this option:
according to the attached graph there is a decreasing function.
If a decreasing function is an exponential function y=a× it means, that a∈(0;1).
This property is performed in answer 'B' only, its equation is y=2*(0,5)×.

answer: B.

Answer 2

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

`f(x)=ab^x`

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

`F(x)=2(b)^x`

Where, b<1.

In option B, b=0.5<1, therefore option B is correct.