Given:
The table of values of an exponential function.
To find:
The factor by which the output value increase as each input value increases by 1.
Solution:
The general exponential growth function is
...(i)
where, a is initial value and b is growth factor.
From the given table it is clear that the function passes through (0,3). So, put x=0 and f(x)=3 in (i).



From the given table it is clear that the function passes through (2,12). So, put a=3, x=2 and f(x)=12 in (i).

Divide both sides by 3.

Taking square root on both sides, we get


Growth factor cannot be negative. So, b=2.
Therefore, the output value increase by factor 2 as each input value increases by 1.