Question

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

Answer 1

Answer:

C) (-1 $\frac{1}{2}$), (0, 1), (1, 2), (2, 4)

Step-by-step explanation:

This is the correct answer on the ed-genuity quiz.

The reason this one is correct is because it passes through the point (0, 1), which all exponential functions pass through. If you do the math: when x = 0, $b^{x}$ will always be 1, no matter what number b is. These numbers make the point (0, 1).

Hope this helped! :)

Answer 2

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 $y=2^x.$