Given
[tex]f\left(x\right)=(\frac{1}{10})^x[/tex]
Find
value of f(x) for each x- value in the table
Explanation
as we have given
[tex]f(x)=(\frac{1}{10})^x[/tex]
then
if x = -1 then
[tex]\begin{gathered} f(-1)=(\frac{1}{10})^{-1}=10 \\ \end{gathered}[/tex]
if x= 0 then
[tex]f(0)=(\frac{1}{10})^0=1[/tex]
if x= 1 , 2 and 3 then
[tex]\begin{gathered} f(1)=(\frac{1}{10})^1=\frac{1}{10} \\ \\ f(2)=(\frac{1}{10})^2=\frac{1}{100} \\ \\ f(3)=(\frac{1}{10})^3=\frac{1}{1000} \end{gathered}[/tex]
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.
