So,
As you can see, the function g:
[tex]g(x)=9(\frac{1}{3})^x-4[/tex]
Has the same behavior of the graph above.
That's because the rate (1/3) is less than 1, so the graph will decay.
The y- intercept of the function g is obtained when we make x=0:
[tex]\begin{gathered} g(0)=9(\frac{1}{3})^0-4 \\ g(0)=9-4 \\ g(0)=5 \end{gathered}[/tex]
If we compare, both y-intercepts seem to be different.
Therefore,
