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,

$\frac{0}{ \frac{1}{2} } \ne \frac{ \frac{1}{2} }{0}$
These ordered pairs cannot be generated by an exponential function.



For the second option also,
$\frac{0}{ - 1} \ne \frac{ 1}{0}$


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



For the the third option,


$\frac{1}{ \frac{1}{2} } = \frac{2}{1} = \frac{4}{2} = 2$

Therefore these ordered pairs were generated by an exponential function.


The fourth option too,


$\frac{0}{1} \ne \: \frac{1}{0}$

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