A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20. Which could be the entire interval over which the function, f (x), is positive? (-∞, 1) (-2, 1) (-∞, 0)

it's b my friends; )

Option B.

Step-by-step explanation:

The given table of values is

x f (x)

-3 - 2

-2 0

-1 2

0 2

1 0

2 - 8

3 - 10

4 - 20

We need to find the interval for which the function f (x) is positive.

From the given table it is clear that the value of function f (x) is negative before - 2 and after 1.

The function positive between x=-2 and x=1. So, we can conclude that the function f (x) is positive for the interval (-2,1).

Therefore, he correct option is B.