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

Answer:
The third choice is the correct answer
Step-by-step explanation:
The set of ordered pairs which could be generated by an exponential function is
[tex](1,\frac{1}{2}),(2,\frac{1}{4}),(3,\frac{1}{8}),(4,\frac{1}{16})[/tex]
If we examine the y-values of this set of ordered pairs, we can see that they have a common ratio of
[tex]r=\frac{1}{4}\div \frac{1}{2}[/tex]
[tex]r=\frac{1}{4}\times 2[/tex]
[tex]r=\frac{1}{2}[/tex]
This makes it exponential.