GIVEN:
We are given the exponential relationship as shown below;
![g(x)=4(0.6)^x](https://img.qammunity.org/2023/formulas/mathematics/college/74pm782gp2a1sietdm6jypfwudhcqppotw.png)
Required;
To determine the characteristics of the graph as indicated.
(1) The range of the function; The range of the function is determined as follows;
![\begin{gathered} For\text{ }the\text{ }function;\text{ }c* n^(ax+b)+k \\ \\ Range=g(x)>k \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ndrzrrneax1xzi4givpeznjly8m90m6bmh.png)
In this question, the value of k is nil or zero. Therefore, we have
![\begin{gathered} Range: \\ \\ g(x)>0 \\ \\ That\text{ }is; \\ \\ y>0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fs4axtch2nvbd1ds8ap30gihkx06uiay5b.png)