Question

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

Answer 1

I would say C because when looking at the y-values, 1/2 x 2 = 1, 1 x 2 = 2, and 1 x 2 = 4. I hope this helps a bit!!

Answer 2

ANSWER


The correct answer is option C.


EXPLANATION

In order to determine which ordered pairs are generated by an exponential function, we examine the y-coordinates to see which one has a constant ratio.


As for the first ordered pairs,


`(0)/( (1)/(2) ) \\e ( (1)/(2) )/(0)`
These ordered pairs cannot be generated by an exponential function.



For the second option also,

`(0)/( - 1) \\e ( 1)/(0)`


These ordered pairs too cannot be generated by an exponential function.



For the the third option,



`(1)/( (1)/(2) ) = (2)/(1) = (4)/(2) = 2`

Therefore these ordered pairs were generated by an exponential function.


The fourth option too,



`(0)/(1) \\e \: (1)/(0)`

The ordered pairs could not be generated by an exponential function.