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

Asked by maham237 @ in Mathematics viewed by 296 People

A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)

B. (–1, –1), (0, 0), (1, 1), (2, 8)

C. (-1,1/2), (0, 1), (1, 2), (2, 4)

D. (–1, 1), (0, 0), (1, 1), (2, 4)

Answered by maham237 @


The graph of each exponential function y=a^x passes through the point (0,1), because a^0=1.

Thus, the only possible choice is C.

Check it:

\dfrac{1}{2}=a^{-1}, \Rightarrow a=2,

2=a^{1}, \Rightarrow a=2,

4=a^{2},\Rightarrow a=2.

The set C could be generated by exponential function y=2^x.


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