Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)

The general expression for the exponential function is where

Note that the graph of each exponential function passes through the point (0,a), because Since then options A and  C are false.

First point in options B and D is (0,1), then

and you get the expression for the exponential function.

Points (0,1), (1,3), (2,9) and (3,27) represent the powers of 3. In this case

Points (0,1), (1,2), (2,5) and (3,10) couldn't generate any exponential function, because if then

correct choice is D

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