Ascience teacher wrote the table of values below. which function models the data in the table? a. f(x)= 1/x , x =/ 0 b. f(x)= log 1/x^2 , x =/ 0 c. f(x)= log 1/x , x =/ 0 d. f(x)= 1/x^2 , x =/ 0

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 = then f(x) =1

By logarithm rule : log (10) = 1 , log (100) = 2.

Substitute the values of x in f(x)= .

If  x =   .

f(x)= .

We can write it f(x) = log(10) = 1

If  x =   .

f(x)= .

We can write it f(x) = log(100) = 2

Therefore, C. f(x)= log 1/x , x =/ 0.