Answer:
C. f(x)= log 1/x , x =/ 0.
Step-by-step explanation:
Given : A science teacher wrote the table of values below.
To find : Which function models the data in the table.
Solution : We have given table with x and f(x ).
We can see from table if x = [tex]\frac{1}{10}[/tex] then f(x) =1
By logarithm rule : log (10) = 1 , log (100) = 2.
Substitute the values of x in f(x)= [tex]log\frac{1}{x}[/tex].
If x = [tex]\frac{1}{10}[/tex] .
f(x)= [tex]log\frac{1}{(\frac{1}{10})}[/tex].
We can write it f(x) = log(10) = 1
If x = [tex]\frac{1}{100}[/tex] .
f(x)= [tex]log\frac{1}{(\frac{1}{100})}[/tex].
We can write it f(x) = log(100) = 2
Therefore, C. f(x)= log 1/x , x =/ 0.
