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

Function Gis Represented By The Equationgx913x4Which Statement Correctly Compares The Two Functions class=

Sagot :

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,