Respuesta :

Given:

[tex]g(x)=(\frac{5}{4})^x[/tex]

The points are:

x = 0, y

[tex]y=\left(\frac{5}{4}\right)^0=1[/tex]

x = 2, y

[tex]y=\left(\frac{5}{4}\right)^2=\frac{25}{16}=1.6[/tex]

x = 4, y

[tex]y=\left(\frac{5}{4}\right)^4=\frac{625}{256}=2.4[/tex]

x = 6, y

[tex]y=\left(\frac{5}{4}\right)^6=3.8[/tex]

x = 8, y

[tex]y=\left(\frac{5}{4}\right)^8=6.0[/tex]

So, graphing the following points:

(0,1) (2, 1.6) ( 4, 2.4) (6,3.8) (8, 6)