Question

The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true? The function is positive for all real values of x where x > –4. The function is negative for all real values of x where –6 < x < –2. The function is positive for all real values of x where x < –6 or x > –3. The function is negative for all real values of x where x < –2.

Answer 1

The critical values for x are -2 and -6.
We break the function domain into regions:
-∞ to -6 f(x) ≥ 0
-6 to-2 f(x) < 0 this is the correct statement, answer 2
-2 to +∞ f(x) ≥ 0