Write an exponential function in the form y = ab* that goes through points (0,12)and (2,768).

The exponential function is [tex]y=12(8)^{x}[/tex]Step-by-step explanation:The form of the exponential function is [tex]y=ab^{x}[/tex] , wherea is the value of y when x = 0b is the rate of change∵ The form of the exponential function is [tex]y=ab^{x}[/tex]∵ The function goes through points (0 , 12) and (2 , 768)- Substitute the coordinates of the first point to find the value of a∵ x = 0 and y = 12∴ [tex]12=ab^{0}[/tex]∵ [tex]b^{0}=1[/tex]∴ 12 = a(1)∴ a = 12Substitute the value of a in the form of the function ∴ [tex]y=12(b)^{x}[/tex]- Substitute the coordinates of the second point to find the value of b∵ x = 2 and y = 768∴ [tex]768=12(b)^{2}[/tex]- Divide both sides by 12∴ 64 = b²- Take √ for both sides∴ b = 8- Substitute the value of b in the form of the function∴ [tex]y=12(8)^{x}[/tex]The exponential function is [tex]y=12(8)^{x}[/tex]Learn more:You can learn more about the logarithmic function in brainly.com/question/1447265#LearnwithBrainly