In order to find the exponential function g(x), let's use the model below for an exponential function:
[tex]g(x)=a\cdot b^x[/tex]Using the points (0, 1) and (1, 3), we have:
[tex]\begin{gathered} (0,1)\colon \\ 1=a\cdot b^0 \\ a=1 \\ \\ (1,3)\colon \\ 3=1\cdot b^1 \\ b=3 \end{gathered}[/tex]Therefore the equation is g(x) = 3^x.
