Answer:
The value of f(-2) is 1/2 or it can be written as 0.5.
Explanation:
The given function is
![f(x)=2\cdot 2^x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t9ll24ztobvn7gke2n2ds8diyq7q156syp.png)
We have to find the value of f(-2).
Substitute x=-2 in the given function to find the value of f(-2).
![f(-2)=2\cdot 2^(-2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bv5uugxycg4vztk69wpsa9x2hun0hwfg5b.png)
![f(-2)=2\cdot (1)/(2^(2))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bjp1zbnlglxgssocqhy8xakmywe9uuj58l.png)
![f(-2)=(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/duld7dny8swx13flkw16kc33u2iqqbvoyx.png)
![f(-2)=0.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/m1eg36fgrfe0umncgbrm2jmqehetsnyx96.png)
Therefore the value of f(-2) is 1/2 or it can be written as 0.5.