Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)

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 .

can you put the picture up?

step-by-step explanation: