Answer:
Option (4)
Explanation:
If the given exponential function is in the form of f(x) =
![a(b)^x](https://img.qammunity.org/2021/formulas/mathematics/high-school/6xza7tumyxaf2jp3xab0wcr2jqqg0uzv4q.png)
From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.
For (0, 3),
f(0) =
![a(b)^0](https://img.qammunity.org/2021/formulas/mathematics/high-school/9tvifof85y3u8j9oqdde8qthak2f6klpho.png)
3 = a
For (0.5, 6),
f(0.5) =
![3(b)^(0.5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/apauxibg6gw8ubdaz36guc7ln4n5cldymk.png)
6 =
![3√(b)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4knvovonpzdgggfs0et3qyy0pae0z4qql4.png)
![√(b)=2](https://img.qammunity.org/2021/formulas/mathematics/high-school/fhjsqyhxgntame99gjgq1ixcqp4ihdgkdc.png)
b = 4
Therefore, value of b in the given function 'f' is 4.
Option (4) will be the answer.