Question

I'm not getting this, I don't know what it wants.

Answer 1

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:

$y=2^x$

Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:

$\begin{gathered} x=-2:\\ \\ y=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\\ \\ \\ \\ x=-1:\\ \\ y=2^{-1}=\frac{1}{2^1}=\frac{1}{2}\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}$

Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).