Given
![f\left(x\right)=((1)/(10))^x](https://img.qammunity.org/2023/formulas/mathematics/college/a962h6pj1t8ps07o11tioqvc9ftoqxdhy6.png)
Find
value of f(x) for each x- value in the table
Step-by-step explanation
as we have given
![f(x)=((1)/(10))^x](https://img.qammunity.org/2023/formulas/mathematics/college/da4xddvo5ua1dgp6jsfyjn2fu8qhr4o9ya.png)
then
if x = -1 then
![\begin{gathered} f(-1)=((1)/(10))^(-1)=10 \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/kratwkzdbyglizyd4wrkr1n1dodg1l8d8i.png)
if x= 0 then
![f(0)=((1)/(10))^0=1](https://img.qammunity.org/2023/formulas/mathematics/college/v4bmk8ig0wkkgr1bahu5szxk998u5oqet6.png)
if x= 1 , 2 and 3 then
![\begin{gathered} f(1)=((1)/(10))^1=(1)/(10) \\ \\ f(2)=((1)/(10))^2=(1)/(100) \\ \\ f(3)=((1)/(10))^3=(1)/(1000) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f2lpfpjerk3avaac3ougqy90750aet6iv1.png)
Final Answer
Therefore , the values of f(x) for x = -1 , 0 , 1 , 2 and 3 are 10 , 1 , 1/10 , 1/100 and 1/1000 respectively.