We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
[tex]y=2^x[/tex]
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
[tex]\begin{gathered} x=-2:\\ \\ y=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\\ \\ \\ \\ x=-1:\\ \\ y=2^{-1}=\frac{1}{2^1}=\frac{1}{2}\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}[/tex]
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).
