Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
...(i)
The function goes through point (0,12). Substituting , we get
The function goes through point (3,6144). Substituting in the general exponential function, we get
Putting in (i), we get
Therefore, the required exponential function is .