Question

Which set of ordered pairs could be generated by an exponential function?

(1, 1), (2,1/2), (3,1/3), (4,1/4)
(1, 1), (2,1/4), (3,1/9), (4,1/16)
(1,1/2), (2,1/4), (3,1/8), (4,1/16)
(1,1/2), (2,1/4), (3,1/6), (4,1/8)​

Answer 1

(1, 1), (2,1/4), (3,1/9), (4,1/16) and (1,1/2), (2,1/4), (3,1/8), (4,1/16)

Explanation:

Equation:

(1, 1), (2,1/2), (3,1/3), (4,1/4): 1/x

(1, 1), (2,1/4), (3,1/9), (4,1/16): 1/x^2

(1,1/2), (2,1/4), (3,1/8), (4,1/16): 1/2^x

(1,1/2), (2,1/4), (3,1/6), (4,1/8): 1/2x