Question

A science teacher wrote the table of values below.

Answer 1

C. f(x)= log 1/x^2 , c=/ 0

Answer 2

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 = $\frac{1}{10}$ then f(x) =1

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

Substitute the values of x in f(x)= $log\frac{1}{x}$.

If  x =  $\frac{1}{10}$ .

f(x)= $log\frac{1}{(\frac{1}{10})}$.

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

If  x =  $\frac{1}{100}$ .

f(x)= $log\frac{1}{(\frac{1}{100})}$.

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

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