Question

x | f(x)
-3 | -2
-2 | 0
-1 | 2
0 | 2
1 | 0
2 | -8
3 | -10
4 | -20
which could be the entire interval over which the function, f(x), is positive?
○ (-∞, 1)
○ (-2, 1)
○ (-∞, 0)
○ (1, 4)

Explanation:

Check where \(f(x) > 0\) from the table: \(f(-1)=2>0\), \(f(0)=2>0\); \(f(-2)=0\), \(f(1)=0\), others outside (-2,1) are ≤0. So the interval where \(f(x)\) is positive is (-2,1).

Answer:

B. (-2, 1)