Write the exponential function for the function going through the points (0,1296) and (4,81).

Answer 1

general form of exponential function is

y = ab^x

so we need to determine a and b given the coordinates the function passes through.

substituting (0,1296) into that equation you get:

1296 = ab^0 = a

substituting (4,81) into that equation you get:

81 = ab^4

plug 1296 for a into above equation:

81 = 1296b^4

1/16 = b^4

1/2 = b

so y = 1296b^1/2