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:
![y=2^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/pxj2mht7hrddkxaw51sn3i7fw6eifb05uu.png)
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
![\begin{gathered} x=-2:\\ \\ y=2^(-2)=(1)/(2^2)=(1)/(4)\\ \\ \\ \\ x=-1:\\ \\ y=2^(-1)=(1)/(2^1)=(1)/(2)\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/eyoffohddxwf6au0kqrkomzpe49kgvvu16.png)
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).