Write the exponential function for the following table: *

f (x)

192

768

3072

12288

Step-by-step explanation:

By dividing one of these numbers by the previous number, we find that these are simply being multiplied by four. This gives us our base of 4.

(4^4) - (4^3) = 192

(4^5) - (4^4) = 768

(4^6) - (4^5) = 3072

(4^7) - (4^6) = 12288

Assuming the X values are 1, 2, 3, and 4,

f (x) = (4^x+3) - (4^x+2)