Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
![f(x)=ab^x](https://tex.z-dn.net/?f=f%28x%29%3Dab%5Ex)
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
![a=3](https://tex.z-dn.net/?f=a%3D3)
The another value of f(x) is 12 at x=2.
![f(3)=ab^2](https://tex.z-dn.net/?f=f%283%29%3Dab%5E2)
![12=(3)b^2](https://tex.z-dn.net/?f=12%3D%283%29b%5E2)
![4=b^2](https://tex.z-dn.net/?f=4%3Db%5E2)
![b=2](https://tex.z-dn.net/?f=b%3D2)
The required function is
![f(x)=3(2)^x](https://tex.z-dn.net/?f=f%28x%29%3D3%282%29%5Ex)
Since the growth factor is 2, therefore the output value increased by factor 2.