Question

Function gis represented by the equation.g(x)=9(1/3)^x-4Which statement correctly compares the two functions?

Answer 1

So,

As you can see, the function g:

`g(x)=9((1)/(3))^x-4`

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:

`\begin{gathered} g(0)=9((1)/(3))^0-4 \\ g(0)=9-4 \\ g(0)=5 \end{gathered}`

If we compare, both y-intercepts seem to be different.

Therefore,